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"main": "math",
"sub": "probability",
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"name": "Probability",
"original_discipline": "mathematics"
} | [] | [
{
"code": "60",
"basis": "source-map",
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] | In a uniformly random spanning tree of a grid graph with $N$ vertices, we know the probability of having an exactly balanced split edge is at least $\frac{1}{N^2}$. Can we improve this to $\frac{1}{N}$? Empirically, this seems like the right answer. It would suffice to extend the $\frac{1}{N^2}$ lower bound to a neighb... | unassessed | {
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"arxiv_id": null,
"license": "Editorially moderat... | null | null | null | not-recorded | not-recorded | null | [] | [] | Mathematical foundations of sampling connected balanced graph partitions · AIMPL workshop record | ## Workshop introduction
This is a list of open research problems compiled during the June 2025 AIM workshop, maintained by Jamie Tucker-Foltz.
Last updated: May 2026
If you have questions, comments, or updates on the status of any problem, please email: j.tuckerfoltz@yale.edu
## Section context
These questions co... | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
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1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e56a41f | problem | aim-0df1011a6fa8a3c46e2c977b7e56a41f | #4 Splittability and duality on 3D grids | {
"main": "math",
"sub": "probability",
"slug": "probability",
"name": "Probability",
"original_discipline": "mathematics"
} | [] | [
{
"code": "60",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Probability. http://aimpl.org/connectedbalanced/ Not an author-supplied MSC code."
}
] | Can we extend the polynomial splittability bound to 3D grids? Specifically, can we get a $\frac{1}{\text{poly}(n)}$ lower bound on splittability into $k = 2$ components of exactly the same numbers of vertices in an $n \times n \times n$ grid graph? What's the analog for generating the dual of a spanning tree with Wilso... | unassessed | {
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"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderat... | null | null | null | not-recorded | not-recorded | null | [] | [] | Mathematical foundations of sampling connected balanced graph partitions · AIMPL workshop record | ## Workshop introduction
This is a list of open research problems compiled during the June 2025 AIM workshop, maintained by Jamie Tucker-Foltz.
Last updated: May 2026
If you have questions, comments, or updates on the status of any problem, please email: j.tuckerfoltz@yale.edu
## Section context
These questions co... | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Wesley Pegden | null | null | null | [
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1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e57a349 | problem | aim-0df1011a6fa8a3c46e2c977b7e57a349 | #1 ReCom ergodicity | {
"main": "math",
"sub": "probability",
"slug": "probability",
"name": "Probability",
"original_discipline": "mathematics"
} | [] | [
{
"code": "60",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Probability. http://aimpl.org/connectedbalanced/ Not an author-supplied MSC code."
}
] | -
(a) Given a map, take the two districts with the largest shared perimeter, then redraw to minimize boundary. Does this process eventually terminate in a simple, Voronoi-like partition (for instance, possibly, the partition minimizing cut edges)? This would imply ergodicity. Or does it get stuck?
(b) Does this polic... | unassessed | {
"key": "aimpl",
"name": "AIMPL · Mathematical foundations of sampling connected balanced graph partitions",
"type": "workshop-problem-list",
"url": "http://aimpl.org/connectedbalanced/1/#0df1011a6fa8a3c46e2c977b7e57a349",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderat... | null | null | null | not-recorded | not-recorded | null | [] | [] | Mathematical foundations of sampling connected balanced graph partitions · AIMPL workshop record | ## Workshop introduction
This is a list of open research problems compiled during the June 2025 AIM workshop, maintained by Jamie Tucker-Foltz.
Last updated: May 2026
If you have questions, comments, or updates on the status of any problem, please email: j.tuckerfoltz@yale.edu
## Section context
These questions co... | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Hugo Akitaya | null | null | null | [
{
"kind": "website",
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1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e57f213 | problem | aim-0df1011a6fa8a3c46e2c977b7e57f213 | #5 Combinatorics of splittability on $K_n$ | {
"main": "math",
"sub": "probability",
"slug": "probability",
"name": "Probability",
"original_discipline": "mathematics"
} | [] | [
{
"code": "60",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Probability. http://aimpl.org/connectedbalanced/ Not an author-supplied MSC code."
}
] | There is also a $\frac{1}{\text{poly}(n)}$ lower bound for the probability that a uniformly random spanning tree of an $n$-vertex complete graph is $k$-splittable. If you plot 2-splittability probability as a function of $k$, it's not unimodal. If it was, then we could prove that we can generalize beyond complete graph... | unassessed | {
"key": "aimpl",
"name": "AIMPL · Mathematical foundations of sampling connected balanced graph partitions",
"type": "workshop-problem-list",
"url": "http://aimpl.org/connectedbalanced/2/#0df1011a6fa8a3c46e2c977b7e57f213",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderat... | null | null | null | not-recorded | not-recorded | null | [] | [] | Mathematical foundations of sampling connected balanced graph partitions · AIMPL workshop record | ## Workshop introduction
This is a list of open research problems compiled during the June 2025 AIM workshop, maintained by Jamie Tucker-Foltz.
Last updated: May 2026
If you have questions, comments, or updates on the status of any problem, please email: j.tuckerfoltz@yale.edu
## Section context
These questions co... | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Dana Randall | null | null | null | [
{
"kind": "website",
"citation": "Mathematical foundations of sampling connected balanced graph partitions · Original question",
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1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e57f865 | problem | aim-0df1011a6fa8a3c46e2c977b7e57f865 | #6 Component sizes on the infinite grid | {
"main": "math",
"sub": "probability",
"slug": "probability",
"name": "Probability",
"original_discipline": "mathematics"
} | [] | [
{
"code": "60",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Probability. http://aimpl.org/connectedbalanced/ Not an author-supplied MSC code."
}
] | Consider UST on the infinite grid lattice. If you remove any edge, with probability 1 you get a finite and an infinite component. What does the distribution over finite component sizes look like? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Mathematical foundations of sampling connected balanced graph partitions",
"type": "workshop-problem-list",
"url": "http://aimpl.org/connectedbalanced/2/#0df1011a6fa8a3c46e2c977b7e57f865",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderat... | null | null | null | not-recorded | not-recorded | null | [] | [] | Mathematical foundations of sampling connected balanced graph partitions · AIMPL workshop record | ## Workshop introduction
This is a list of open research problems compiled during the June 2025 AIM workshop, maintained by Jamie Tucker-Foltz.
Last updated: May 2026
If you have questions, comments, or updates on the status of any problem, please email: j.tuckerfoltz@yale.edu
## Section context
These questions co... | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Kris Tapp | null | null | null | [
{
"kind": "website",
"citation": "Mathematical foundations of sampling connected balanced graph partitions · Original question",
"url": "http://aimpl.org/connectedbalanced/2/#0df1011a6fa8a3c46e2c977b7e57f865",
"note": null,
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1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e5802e2 | problem | aim-0df1011a6fa8a3c46e2c977b7e5802e2 | #7 MST ReCom | {
"main": "math",
"sub": "probability",
"slug": "probability",
"name": "Probability",
"original_discipline": "mathematics"
} | [] | [
{
"code": "60",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Probability. http://aimpl.org/connectedbalanced/ Not an author-supplied MSC code."
}
] | Running ReCom with random minimal spanning trees (i.e., drawing trees using Kruskal's algorithm with random weights):
(a) Can we modify the algorithm so that we get a nice (approximate) description of the distribution we are sampling from?
(b) Can we at least calculate forward and backward probabilities so we can us... | unassessed | {
"key": "aimpl",
"name": "AIMPL · Mathematical foundations of sampling connected balanced graph partitions",
"type": "workshop-problem-list",
"url": "http://aimpl.org/connectedbalanced/1/#0df1011a6fa8a3c46e2c977b7e5802e2",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderat... | null | null | null | not-recorded | not-recorded | null | [] | [] | Mathematical foundations of sampling connected balanced graph partitions · AIMPL workshop record | ## Workshop introduction
This is a list of open research problems compiled during the June 2025 AIM workshop, maintained by Jamie Tucker-Foltz.
Last updated: May 2026
If you have questions, comments, or updates on the status of any problem, please email: j.tuckerfoltz@yale.edu
## Section context
These questions co... | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Jamie Tucker-Foltz, Wesley Pegden, Jonathan Mattingly | null | null | null | [
{
"kind": "website",
"citation": "Mathematical foundations of sampling connected balanced graph partitions · Original question",
"url": "http://aimpl.org/connectedbalanced/1/#0df1011a6fa8a3c46e2c977b7e5802e2",
"note": null,
"sort_order": 0
},
{
"kind": "website",
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1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e581509 | problem | aim-0df1011a6fa8a3c46e2c977b7e581509 | #9 Other (Metropolized) chains for small perimeter | {
"main": "math",
"sub": "probability",
"slug": "probability",
"name": "Probability",
"original_discipline": "mathematics"
} | [] | [
{
"code": "60",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Probability. http://aimpl.org/connectedbalanced/ Not an author-supplied MSC code."
}
] | Can we find other Metropolis-Hasting schemes besides UST RevReCom to sample partitions with small perimeters, for instance under the isoparametric ratio or Polsby-Popper score? Is the cycle walk a good candidate? One can at least calculate the forward and backward probabilities for that. | unassessed | {
"key": "aimpl",
"name": "AIMPL · Mathematical foundations of sampling connected balanced graph partitions",
"type": "workshop-problem-list",
"url": "http://aimpl.org/connectedbalanced/1/#0df1011a6fa8a3c46e2c977b7e581509",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderat... | null | null | null | not-recorded | not-recorded | null | [] | [] | Mathematical foundations of sampling connected balanced graph partitions · AIMPL workshop record | ## Workshop introduction
This is a list of open research problems compiled during the June 2025 AIM workshop, maintained by Jamie Tucker-Foltz.
Last updated: May 2026
If you have questions, comments, or updates on the status of any problem, please email: j.tuckerfoltz@yale.edu
## Section context
These questions co... | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Jonathan Mattingly | null | null | null | [
{
"kind": "website",
"citation": "Mathematical foundations of sampling connected balanced graph partitions · Original question",
"url": "http://aimpl.org/connectedbalanced/1/#0df1011a6fa8a3c46e2c977b7e581509",
"note": null,
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"source-full-text-not-present"
] | [] | {
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1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e583b61 | problem | aim-0df1011a6fa8a3c46e2c977b7e583b61 | #11 What makes a tree or graph splittable? | {
"main": "math",
"sub": "probability",
"slug": "probability",
"name": "Probability",
"original_discipline": "mathematics"
} | [] | [
{
"code": "60",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Probability. http://aimpl.org/connectedbalanced/ Not an author-supplied MSC code."
}
] | Star graphs are not splittable, paths are. What other structures of trees make it splittable or not splittable? What determines whether a graph is splittable or not splittable? Is there a metric on a tree or a graph that quantifies this? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Mathematical foundations of sampling connected balanced graph partitions",
"type": "workshop-problem-list",
"url": "http://aimpl.org/connectedbalanced/2/#0df1011a6fa8a3c46e2c977b7e583b61",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderat... | null | null | null | not-recorded | not-recorded | null | [] | [] | Mathematical foundations of sampling connected balanced graph partitions · AIMPL workshop record | ## Workshop introduction
This is a list of open research problems compiled during the June 2025 AIM workshop, maintained by Jamie Tucker-Foltz.
Last updated: May 2026
If you have questions, comments, or updates on the status of any problem, please email: j.tuckerfoltz@yale.edu
## Section context
These questions co... | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
## Status note in the source
A group worked on this problem during the workshop. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Ann Clifton, Jeanne Clelland, Daryl DeFord | null | null | null | [
{
"kind": "website",
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1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e584a30 | problem | aim-0df1011a6fa8a3c46e2c977b7e584a30 | #12 Understanding the space of maps | {
"main": "math",
"sub": "probability",
"slug": "probability",
"name": "Probability",
"original_discipline": "mathematics"
} | [] | [
{
"code": "60",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Probability. http://aimpl.org/connectedbalanced/ Not an author-supplied MSC code."
}
] | How do we know how far apart two redistricting maps are? Can you capture the number of steps it takes in a Markov chain or political characteristics? What does the topology of the space of maps look like under such a metric? What is the interplay between the target measure for MCMC and the properties of these metrics? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Mathematical foundations of sampling connected balanced graph partitions",
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"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderat... | null | null | null | not-recorded | not-recorded | null | [] | [] | Mathematical foundations of sampling connected balanced graph partitions · AIMPL workshop record | ## Workshop introduction
This is a list of open research problems compiled during the June 2025 AIM workshop, maintained by Jamie Tucker-Foltz.
Last updated: May 2026
If you have questions, comments, or updates on the status of any problem, please email: j.tuckerfoltz@yale.edu
## Section context
These questions ar... | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Ranthony Clark | null | null | null | [
{
"kind": "website",
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1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e587cea | problem | aim-0df1011a6fa8a3c46e2c977b7e587cea | #15 Inference from adjacency data | {
"main": "math",
"sub": "probability",
"slug": "probability",
"name": "Probability",
"original_discipline": "mathematics"
} | [] | [
{
"code": "60",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Probability. http://aimpl.org/connectedbalanced/ Not an author-supplied MSC code."
}
] | What properties of the geography or political geography can be read off the graph adjacency data alone? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Mathematical foundations of sampling connected balanced graph partitions",
"type": "workshop-problem-list",
"url": "http://aimpl.org/connectedbalanced/4/#0df1011a6fa8a3c46e2c977b7e587cea",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderat... | null | null | null | not-recorded | not-recorded | null | [] | [] | Mathematical foundations of sampling connected balanced graph partitions · AIMPL workshop record | ## Workshop introduction
This is a list of open research problems compiled during the June 2025 AIM workshop, maintained by Jamie Tucker-Foltz.
Last updated: May 2026
If you have questions, comments, or updates on the status of any problem, please email: j.tuckerfoltz@yale.edu
## Section context
These questions ar... | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Ranthony Clark | null | null | null | [
{
"kind": "website",
"citation": "Mathematical foundations of sampling connected balanced graph partitions · Original question",
"url": "http://aimpl.org/connectedbalanced/4/#0df1011a6fa8a3c46e2c977b7e587cea",
"note": null,
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{
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} | 2026-10-10T16:07:49.246Z | {"database_id":"9f56fcf2-6448-45dd-9a32-d17c679173bf","format_issues":null,"number":11182} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e5882fe | problem | aim-0df1011a6fa8a3c46e2c977b7e5882fe | #13 Computational tools for exploring properties of a distribution over maps | {
"main": "math",
"sub": "probability",
"slug": "probability",
"name": "Probability",
"original_discipline": "mathematics"
} | [] | [
{
"code": "60",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Probability. http://aimpl.org/connectedbalanced/ Not an author-supplied MSC code."
}
] | Given a target measure, are there simple/computationally feasible tools to study the topology and metric properties of the space of graph partitions? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Mathematical foundations of sampling connected balanced graph partitions",
"type": "workshop-problem-list",
"url": "http://aimpl.org/connectedbalanced/4/#0df1011a6fa8a3c46e2c977b7e5882fe",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderat... | null | null | null | not-recorded | not-recorded | null | [] | [] | Mathematical foundations of sampling connected balanced graph partitions · AIMPL workshop record | ## Workshop introduction
This is a list of open research problems compiled during the June 2025 AIM workshop, maintained by Jamie Tucker-Foltz.
Last updated: May 2026
If you have questions, comments, or updates on the status of any problem, please email: j.tuckerfoltz@yale.edu
## Section context
These questions ar... | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Jonathan Mattingly | null | null | null | [
{
"kind": "website",
"citation": "Mathematical foundations of sampling connected balanced graph partitions · Original question",
"url": "http://aimpl.org/connectedbalanced/4/#0df1011a6fa8a3c46e2c977b7e5882fe",
"note": null,
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{
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} | 2026-10-10T16:07:49.246Z | {"database_id":"a1f15fd2-ac5d-4731-849b-0be9f0267425","format_issues":null,"number":11183} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e58831c | problem | aim-0df1011a6fa8a3c46e2c977b7e58831c | #14 Partition similarity via spanning forests | {
"main": "math",
"sub": "probability",
"slug": "probability",
"name": "Probability",
"original_discipline": "mathematics"
} | [] | [
{
"code": "60",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Probability. http://aimpl.org/connectedbalanced/ Not an author-supplied MSC code."
}
] | Can the collection of spanning forests on a pair of graph partitions be used to make define a notion of distance between them or characterize their similarity? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Mathematical foundations of sampling connected balanced graph partitions",
"type": "workshop-problem-list",
"url": "http://aimpl.org/connectedbalanced/4/#0df1011a6fa8a3c46e2c977b7e58831c",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderat... | null | null | null | not-recorded | not-recorded | null | [] | [] | Mathematical foundations of sampling connected balanced graph partitions · AIMPL workshop record | ## Workshop introduction
This is a list of open research problems compiled during the June 2025 AIM workshop, maintained by Jamie Tucker-Foltz.
Last updated: May 2026
If you have questions, comments, or updates on the status of any problem, please email: j.tuckerfoltz@yale.edu
## Section context
These questions ar... | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Gyaneshwar Agrahari | null | null | null | [
{
"kind": "website",
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} | 2026-10-10T16:07:49.246Z | {"database_id":"5b8e86a4-98b6-41d2-aba3-3f658f3a16e3","format_issues":null,"number":11184} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e588cbb | problem | aim-0df1011a6fa8a3c46e2c977b7e588cbb | #16 Computational tools to explain collections of real maps | {
"main": "math",
"sub": "probability",
"slug": "probability",
"name": "Probability",
"original_discipline": "mathematics"
} | [] | [
{
"code": "60",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Probability. http://aimpl.org/connectedbalanced/ Not an author-supplied MSC code."
}
] | Given a collection of redistricting maps, how can you find a distribution or family of distributions explaining these maps?
(a) Can we find a good regularization to make the problem better posed? For example, suppose we look at all maps that have ever been proposed and we build some reasonable parameterized distributi... | unassessed | {
"key": "aimpl",
"name": "AIMPL · Mathematical foundations of sampling connected balanced graph partitions",
"type": "workshop-problem-list",
"url": "http://aimpl.org/connectedbalanced/4/#0df1011a6fa8a3c46e2c977b7e588cbb",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderat... | null | null | null | not-recorded | not-recorded | null | [] | [] | Mathematical foundations of sampling connected balanced graph partitions · AIMPL workshop record | ## Workshop introduction
This is a list of open research problems compiled during the June 2025 AIM workshop, maintained by Jamie Tucker-Foltz.
Last updated: May 2026
If you have questions, comments, or updates on the status of any problem, please email: j.tuckerfoltz@yale.edu
## Section context
These questions ar... | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Gregory Hershlag, Jonathan Mattingly | null | null | null | [
{
"kind": "website",
"citation": "Mathematical foundations of sampling connected balanced graph partitions · Original question",
"url": "http://aimpl.org/connectedbalanced/4/#0df1011a6fa8a3c46e2c977b7e588cbb",
"note": null,
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{
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"current-status-unassessed",
"source-full-text-not-present"
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"published_at": "2026-09-09T22:24:07.958Z",
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} | 2026-10-10T16:07:49.246Z | {"database_id":"31919cfc-adc2-4ff1-b591-1701da5aeb01","format_issues":null,"number":11185} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e5890ab | problem | aim-0df1011a6fa8a3c46e2c977b7e5890ab | #17 Models of graphs arising in real geographic data | {
"main": "math",
"sub": "probability",
"slug": "probability",
"name": "Probability",
"original_discipline": "mathematics"
} | [] | [
{
"code": "60",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Probability. http://aimpl.org/connectedbalanced/ Not an author-supplied MSC code."
}
] | -
(a) What is a good generative model?
(b) Perturbed Delaunay triangulations of random point sets seem to work very well. You add edges with preferential attachment then delete edges randomly. Can we formally investigate how/why this works? What about Voronoi graphs or 2-Delaunay graphs?
(c) What about taking a Dela... | unassessed | {
"key": "aimpl",
"name": "AIMPL · Mathematical foundations of sampling connected balanced graph partitions",
"type": "workshop-problem-list",
"url": "http://aimpl.org/connectedbalanced/4/#0df1011a6fa8a3c46e2c977b7e5890ab",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderat... | null | null | null | not-recorded | not-recorded | null | [] | [] | Mathematical foundations of sampling connected balanced graph partitions · AIMPL workshop record | ## Workshop introduction
This is a list of open research problems compiled during the June 2025 AIM workshop, maintained by Jamie Tucker-Foltz.
Last updated: May 2026
If you have questions, comments, or updates on the status of any problem, please email: j.tuckerfoltz@yale.edu
## Section context
These questions ar... | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Sarah Cannon, Wesley Pegden | null | null | null | [
{
"kind": "website",
"citation": "Mathematical foundations of sampling connected balanced graph partitions · Original question",
"url": "http://aimpl.org/connectedbalanced/4/#0df1011a6fa8a3c46e2c977b7e5890ab",
"note": null,
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{
"kind": "website",
"citation": "AIMPL s... | {
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"evidence_label": "Workshop record · status unassessed",
"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
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"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-09T22:23:49.983Z",
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} | 2026-10-10T16:07:49.246Z | {"database_id":"777cb943-7452-475e-908f-4505e0535ece","format_issues":null,"number":11186} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e589fd3 | problem | aim-0df1011a6fa8a3c46e2c977b7e589fd3 | #18 Beyond redistricting: processor assignment application | {
"main": "math",
"sub": "probability",
"slug": "probability",
"name": "Probability",
"original_discipline": "mathematics"
} | [] | [
{
"code": "60",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Probability. http://aimpl.org/connectedbalanced/ Not an author-supplied MSC code."
}
] | Is there a many-body problem where these kinds of partitioning algorithms can give a speedup when used for processor assignment? This is a dynamic problem where processors can only talk locally to each other and you are allowed to reassign. | unassessed | {
"key": "aimpl",
"name": "AIMPL · Mathematical foundations of sampling connected balanced graph partitions",
"type": "workshop-problem-list",
"url": "http://aimpl.org/connectedbalanced/4/#0df1011a6fa8a3c46e2c977b7e589fd3",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderat... | null | null | null | not-recorded | not-recorded | null | [] | [] | Mathematical foundations of sampling connected balanced graph partitions · AIMPL workshop record | ## Workshop introduction
This is a list of open research problems compiled during the June 2025 AIM workshop, maintained by Jamie Tucker-Foltz.
Last updated: May 2026
If you have questions, comments, or updates on the status of any problem, please email: j.tuckerfoltz@yale.edu
## Section context
These questions ar... | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Daryl DeFord | null | null | null | [
{
"kind": "website",
"citation": "Mathematical foundations of sampling connected balanced graph partitions · Original question",
"url": "http://aimpl.org/connectedbalanced/4/#0df1011a6fa8a3c46e2c977b7e589fd3",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL s... | {
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"evidence_label": "Workshop record · status unassessed",
"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-09T22:23:49.983Z",
"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:07.970Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"986a671e-e1dc-4b06-9849-353a178e55f2","format_issues":null,"number":11187} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e58a0d4 | problem | aim-0df1011a6fa8a3c46e2c977b7e58a0d4 | #19 ReCom rapid mixing on restricted graph families | {
"main": "math",
"sub": "probability",
"slug": "probability",
"name": "Probability",
"original_discipline": "mathematics"
} | [] | [
{
"code": "60",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Probability. http://aimpl.org/connectedbalanced/ Not an author-supplied MSC code."
}
] | Can we prove ReCom mixes rapidly on some families of graphs? Triangular/square lattice? Complete graphs? Dense random graphs? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Mathematical foundations of sampling connected balanced graph partitions",
"type": "workshop-problem-list",
"url": "http://aimpl.org/connectedbalanced/1/#0df1011a6fa8a3c46e2c977b7e58a0d4",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderat... | null | null | null | not-recorded | not-recorded | null | [] | [] | Mathematical foundations of sampling connected balanced graph partitions · AIMPL workshop record | ## Workshop introduction
This is a list of open research problems compiled during the June 2025 AIM workshop, maintained by Jamie Tucker-Foltz.
Last updated: May 2026
If you have questions, comments, or updates on the status of any problem, please email: j.tuckerfoltz@yale.edu
## Section context
These questions co... | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
## Status note in the source
A group worked on this question during the workshop. It was able to prove rapid mixing on complete graphs, as well as asymptotical... | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Eyob Tsegaye | null | null | null | [
{
"kind": "website",
"citation": "Mathematical foundations of sampling connected balanced graph partitions · Original question",
"url": "http://aimpl.org/connectedbalanced/1/#0df1011a6fa8a3c46e2c977b7e58a0d4",
"note": null,
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"source-full-text-not-present"
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1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e58a97a | problem | aim-0df1011a6fa8a3c46e2c977b7e58a97a | #20 Cycle walk rapid mixing on restricted graph families | {
"main": "math",
"sub": "probability",
"slug": "probability",
"name": "Probability",
"original_discipline": "mathematics"
} | [] | [
{
"code": "60",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Probability. http://aimpl.org/connectedbalanced/ Not an author-supplied MSC code."
}
] | Can we prove the cycle walk mixes rapidly on some families of graphs? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Mathematical foundations of sampling connected balanced graph partitions",
"type": "workshop-problem-list",
"url": "http://aimpl.org/connectedbalanced/1/#0df1011a6fa8a3c46e2c977b7e58a97a",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderat... | null | null | null | not-recorded | not-recorded | null | [] | [] | Mathematical foundations of sampling connected balanced graph partitions · AIMPL workshop record | ## Workshop introduction
This is a list of open research problems compiled during the June 2025 AIM workshop, maintained by Jamie Tucker-Foltz.
Last updated: May 2026
If you have questions, comments, or updates on the status of any problem, please email: j.tuckerfoltz@yale.edu
## Section context
These questions co... | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Jonathan Mattingly | null | null | null | [
{
"kind": "website",
"citation": "Mathematical foundations of sampling connected balanced graph partitions · Original question",
"url": "http://aimpl.org/connectedbalanced/1/#0df1011a6fa8a3c46e2c977b7e58a97a",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL s... | {
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] | [] | {
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} | 2026-10-10T16:07:49.246Z | {"database_id":"2d4d6d59-b860-4d42-a277-77740d40cc8f","format_issues":null,"number":11166} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e58caeb | problem | aim-0df1011a6fa8a3c46e2c977b7e58caeb | #21 Splittability with non-constant weights | {
"main": "math",
"sub": "probability",
"slug": "probability",
"name": "Probability",
"original_discipline": "mathematics"
} | [] | [
{
"code": "60",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Probability. http://aimpl.org/connectedbalanced/ Not an author-supplied MSC code."
}
] | Are trees still splittable with polynomial probability when node populations differ by more than a constant amount asymptotically? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Mathematical foundations of sampling connected balanced graph partitions",
"type": "workshop-problem-list",
"url": "http://aimpl.org/connectedbalanced/2/#0df1011a6fa8a3c46e2c977b7e58caeb",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderat... | null | null | null | not-recorded | not-recorded | null | [] | [] | Mathematical foundations of sampling connected balanced graph partitions · AIMPL workshop record | ## Workshop introduction
This is a list of open research problems compiled during the June 2025 AIM workshop, maintained by Jamie Tucker-Foltz.
Last updated: May 2026
If you have questions, comments, or updates on the status of any problem, please email: j.tuckerfoltz@yale.edu
## Section context
These questions co... | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Gabe Schoenbach | null | null | null | [
{
"kind": "website",
"citation": "Mathematical foundations of sampling connected balanced graph partitions · Original question",
"url": "http://aimpl.org/connectedbalanced/2/#0df1011a6fa8a3c46e2c977b7e58caeb",
"note": null,
"sort_order": 0
},
{
"kind": "website",
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"evidence_label": "Workshop record · status unassessed",
"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-09T22:23:49.983Z",
"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:07.887Z",
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} | 2026-10-10T16:07:49.246Z | {"database_id":"74a424cf-79a4-4c0e-b5e3-657561182a39","format_issues":null,"number":11173} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e58ffef | problem | aim-0df1011a6fa8a3c46e2c977b7e58ffef | #23 MST vs UST splittability | {
"main": "math",
"sub": "probability",
"slug": "probability",
"name": "Probability",
"original_discipline": "mathematics"
} | [] | [
{
"code": "60",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Probability. http://aimpl.org/connectedbalanced/ Not an author-supplied MSC code."
}
] | For a given family of graphs (like grids, complete graphs), what is the assymptotic probability a uniformly random spanning tree versus a random minimal spanning tree is 2-splittable?
(a) Is it true that on any graph a random MST is weakly less likely to be 2-splittable? | unassessed | {
"key": "aimpl",
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"type": "workshop-problem-list",
"url": "http://aimpl.org/connectedbalanced/2/#0df1011a6fa8a3c46e2c977b7e58ffef",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderat... | null | null | null | not-recorded | not-recorded | null | [] | [] | Mathematical foundations of sampling connected balanced graph partitions · AIMPL workshop record | ## Workshop introduction
This is a list of open research problems compiled during the June 2025 AIM workshop, maintained by Jamie Tucker-Foltz.
Last updated: May 2026
If you have questions, comments, or updates on the status of any problem, please email: j.tuckerfoltz@yale.edu
## Section context
These questions co... | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
## Status note in the source
A group worked on this problem during this workshop and was able to refute (a): there is a graph with 6 vertices where MST trees a... | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Kris Tapp, Jamie Tucker-Foltz | null | null | null | [
{
"kind": "website",
"citation": "Mathematical foundations of sampling connected balanced graph partitions · Original question",
"url": "http://aimpl.org/connectedbalanced/2/#0df1011a6fa8a3c46e2c977b7e58ffef",
"note": null,
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{
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"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-09T22:23:49.983Z",
"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:07.893Z",
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} | 2026-10-10T16:07:49.246Z | {"database_id":"3ed79553-86bd-4edf-acf9-0d6b98cdaea3","format_issues":null,"number":11174} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e59172e | problem | aim-0df1011a6fa8a3c46e2c977b7e59172e | #24 SLE for ReCom | {
"main": "math",
"sub": "probability",
"slug": "probability",
"name": "Probability",
"original_discipline": "mathematics"
} | [] | [
{
"code": "60",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Probability. http://aimpl.org/connectedbalanced/ Not an author-supplied MSC code."
}
] | Is there a scaling limit for the distribution over partitions generated from running ReCom on finer and finer grids on the unit square. | unassessed | {
"key": "aimpl",
"name": "AIMPL · Mathematical foundations of sampling connected balanced graph partitions",
"type": "workshop-problem-list",
"url": "http://aimpl.org/connectedbalanced/5/#0df1011a6fa8a3c46e2c977b7e59172e",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderat... | null | null | null | not-recorded | not-recorded | null | [] | [] | Mathematical foundations of sampling connected balanced graph partitions · AIMPL workshop record | ## Workshop introduction
This is a list of open research problems compiled during the June 2025 AIM workshop, maintained by Jamie Tucker-Foltz.
Last updated: May 2026
If you have questions, comments, or updates on the status of any problem, please email: j.tuckerfoltz@yale.edu
## Section context
These questions co... | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Jonathan Mattingly | null | null | null | [
{
"kind": "website",
"citation": "Mathematical foundations of sampling connected balanced graph partitions · Original question",
"url": "http://aimpl.org/connectedbalanced/5/#0df1011a6fa8a3c46e2c977b7e59172e",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL s... | {
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"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-09T22:23:49.983Z",
"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:07.975Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"4419adac-053b-4bba-a1fb-eb52cb00f3c3","format_issues":null,"number":11188} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e592ed2 | problem | aim-0df1011a6fa8a3c46e2c977b7e592ed2 | #25 Perimeter in the limit | {
"main": "math",
"sub": "probability",
"slug": "probability",
"name": "Probability",
"original_discipline": "mathematics"
} | [] | [
{
"code": "60",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Probability. http://aimpl.org/connectedbalanced/ Not an author-supplied MSC code."
}
] | Fix $P_1, P_2, \dots, P_L$ partitions of the unit square into 2 pieces. Compute
$$\lim_{n \to \infty} \mathbb{P}_n(P_k) := \frac{\tau_n(P_k)}{\sum_{\ell = 1}^L \tau_n(P_k)}.$$
where $\tau_n(P)$ is the number of tree-weighted partitions of the $n \times n$ grid graph that look like $P$. This fraction is set up so that t... | unassessed | {
"key": "aimpl",
"name": "AIMPL · Mathematical foundations of sampling connected balanced graph partitions",
"type": "workshop-problem-list",
"url": "http://aimpl.org/connectedbalanced/5/#0df1011a6fa8a3c46e2c977b7e592ed2",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderat... | null | null | null | not-recorded | not-recorded | null | [] | [] | Mathematical foundations of sampling connected balanced graph partitions · AIMPL workshop record | ## Workshop introduction
This is a list of open research problems compiled during the June 2025 AIM workshop, maintained by Jamie Tucker-Foltz.
Last updated: May 2026
If you have questions, comments, or updates on the status of any problem, please email: j.tuckerfoltz@yale.edu
## Section context
These questions co... | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Jonathan Mattingly | null | null | null | [
{
"kind": "website",
"citation": "Mathematical foundations of sampling connected balanced graph partitions · Original question",
"url": "http://aimpl.org/connectedbalanced/5/#0df1011a6fa8a3c46e2c977b7e592ed2",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL s... | {
"source_record": "0df1011a6fa8a3c46e2c977b7e592ed2",
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"evidence_label": "Workshop record · status unassessed",
"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
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"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:07.981Z",
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} | 2026-10-10T16:07:49.246Z | {"database_id":"0bc22f14-a1b4-464f-98a6-6de7b273ff63","format_issues":null,"number":11189} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e5948bf | problem | aim-0df1011a6fa8a3c46e2c977b7e5948bf | # 29 Phase trasition for exponential weighting schemes | {
"main": "math",
"sub": "probability",
"slug": "probability",
"name": "Probability",
"original_discipline": "mathematics"
} | [] | [
{
"code": "60",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Probability. http://aimpl.org/connectedbalanced/ Not an author-supplied MSC code."
}
] | If you are exponentially down-weighting partitions based on boundary length, at what value do you see a phase transition between compact and non-compact partitions? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Mathematical foundations of sampling connected balanced graph partitions",
"type": "workshop-problem-list",
"url": "http://aimpl.org/connectedbalanced/5/#0df1011a6fa8a3c46e2c977b7e5948bf",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderat... | null | null | null | not-recorded | not-recorded | null | [] | [] | Mathematical foundations of sampling connected balanced graph partitions · AIMPL workshop record | ## Workshop introduction
This is a list of open research problems compiled during the June 2025 AIM workshop, maintained by Jamie Tucker-Foltz.
Last updated: May 2026
If you have questions, comments, or updates on the status of any problem, please email: j.tuckerfoltz@yale.edu
## Section context
These questions co... | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Daryl DeFord | null | null | null | [
{
"kind": "website",
"citation": "Mathematical foundations of sampling connected balanced graph partitions · Original question",
"url": "http://aimpl.org/connectedbalanced/5/#0df1011a6fa8a3c46e2c977b7e5948bf",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL s... | {
"source_record": "0df1011a6fa8a3c46e2c977b7e5948bf",
"imported_at": "2026-09-10",
"status_as_of": "2026-09-10 source snapshot; not a current-status certification",
"evidence_label": "Workshop record · status unassessed",
"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-09T22:23:49.983Z",
"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:07.988Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"d327ffd1-9add-4b54-a998-c274f7a2ac76","format_issues":null,"number":11190} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e59688b | problem | aim-0df1011a6fa8a3c46e2c977b7e59688b | #3 Enumerating partitions with ZDD | {
"main": "math",
"sub": "probability",
"slug": "probability",
"name": "Probability",
"original_discipline": "mathematics"
} | [] | [
{
"code": "60",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Probability. http://aimpl.org/connectedbalanced/ Not an author-supplied MSC code."
}
] | Is ZDD the best algorithm to enumerate all balanced partitions that are $\varepsilon$-balanced? Or is there some other method?
(a) Is there a combinatorial/geometric way to understand the pruned branches in the ZDD algorithm?
(b) Can we analyze ZDD to get better bounds on the likelihood of approximate splittability o... | unassessed | {
"key": "aimpl",
"name": "AIMPL · Mathematical foundations of sampling connected balanced graph partitions",
"type": "workshop-problem-list",
"url": "http://aimpl.org/connectedbalanced/3/#0df1011a6fa8a3c46e2c977b7e59688b",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderat... | null | null | null | not-recorded | not-recorded | null | [] | [] | Mathematical foundations of sampling connected balanced graph partitions · AIMPL workshop record | ## Workshop introduction
This is a list of open research problems compiled during the June 2025 AIM workshop, maintained by Jamie Tucker-Foltz.
Last updated: May 2026
If you have questions, comments, or updates on the status of any problem, please email: j.tuckerfoltz@yale.edu
## Section context
These problems con... | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Gabe Schoenbach, Daryl DeFord | null | null | null | [
{
"kind": "website",
"citation": "Mathematical foundations of sampling connected balanced graph partitions · Original question",
"url": "http://aimpl.org/connectedbalanced/3/#0df1011a6fa8a3c46e2c977b7e59688b",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL s... | {
"source_record": "0df1011a6fa8a3c46e2c977b7e59688b",
"imported_at": "2026-09-10",
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"evidence_label": "Workshop record · status unassessed",
"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-09T22:23:49.983Z",
"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:07.905Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"44657506-d0f3-46e2-9066-6295f6dc8d23","format_issues":null,"number":11176} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e59811b | problem | aim-0df1011a6fa8a3c46e2c977b7e59811b | #8 UST speedup | {
"main": "math",
"sub": "probability",
"slug": "probability",
"name": "Probability",
"original_discipline": "mathematics"
} | [] | [
{
"code": "60",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Probability. http://aimpl.org/connectedbalanced/ Not an author-supplied MSC code."
}
] | Is there a faster algorithm to draw an (approximately) uniformly random spanning tree, perhaps on well-behaved graph families? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Mathematical foundations of sampling connected balanced graph partitions",
"type": "workshop-problem-list",
"url": "http://aimpl.org/connectedbalanced/3/#0df1011a6fa8a3c46e2c977b7e59811b",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderat... | null | null | null | not-recorded | not-recorded | null | [] | [] | Mathematical foundations of sampling connected balanced graph partitions · AIMPL workshop record | ## Workshop introduction
This is a list of open research problems compiled during the June 2025 AIM workshop, maintained by Jamie Tucker-Foltz.
Last updated: May 2026
If you have questions, comments, or updates on the status of any problem, please email: j.tuckerfoltz@yale.edu
## Section context
These problems con... | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Gregory Herschlag | null | null | null | [
{
"kind": "website",
"citation": "Mathematical foundations of sampling connected balanced graph partitions · Original question",
"url": "http://aimpl.org/connectedbalanced/3/#0df1011a6fa8a3c46e2c977b7e59811b",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL s... | {
"source_record": "0df1011a6fa8a3c46e2c977b7e59811b",
"imported_at": "2026-09-10",
"status_as_of": "2026-09-10 source snapshot; not a current-status certification",
"evidence_label": "Workshop record · status unassessed",
"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-09T22:23:49.983Z",
"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:07.912Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"14d99e58-7848-4b33-81ff-0135bfe328db","format_issues":null,"number":11177} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e599043 | problem | aim-0df1011a6fa8a3c46e2c977b7e599043 | #10 Uniform partition sampling | {
"main": "math",
"sub": "probability",
"slug": "probability",
"name": "Probability",
"original_discipline": "mathematics"
} | [] | [
{
"code": "60",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Probability. http://aimpl.org/connectedbalanced/ Not an author-supplied MSC code."
}
] | Can we sample a uniformly random balanced graph partition into two pieces in polynomial time on well-behaved graphs? Specifically, can we do this on grid graphs? Wesley Pegden has an informal argument suggesting that simply running the flip walk would not mix in polynomial-time, so that does not work. Also, what if we ... | unassessed | {
"key": "aimpl",
"name": "AIMPL · Mathematical foundations of sampling connected balanced graph partitions",
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"url": "http://aimpl.org/connectedbalanced/3/#0df1011a6fa8a3c46e2c977b7e599043",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderat... | null | null | null | not-recorded | not-recorded | null | [] | [] | Mathematical foundations of sampling connected balanced graph partitions · AIMPL workshop record | ## Workshop introduction
This is a list of open research problems compiled during the June 2025 AIM workshop, maintained by Jamie Tucker-Foltz.
Last updated: May 2026
If you have questions, comments, or updates on the status of any problem, please email: j.tuckerfoltz@yale.edu
## Section context
These problems con... | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Mathematical foundations of sampling connected balanced graph partitions · Original question",
"url": "http://aimpl.org/connectedbalanced/3/#0df1011a6fa8a3c46e2c977b7e599043",
"note": null,
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{
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} | 2026-10-10T16:07:49.246Z | {"database_id":"1564f7a3-9676-400c-8457-508cb6fff9a8","format_issues":null,"number":11178} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e599895 | problem | aim-0df1011a6fa8a3c46e2c977b7e599895 | #22 Recursive splitting balance constraints | {
"main": "math",
"sub": "probability",
"slug": "probability",
"name": "Probability",
"original_discipline": "mathematics"
} | [] | [
{
"code": "60",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Probability. http://aimpl.org/connectedbalanced/ Not an author-supplied MSC code."
}
] | When recursively splitting trees to build a balanced partition, what population balance constraints should be enforced in the earlier steps to get approximate balance at the end? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Mathematical foundations of sampling connected balanced graph partitions",
"type": "workshop-problem-list",
"url": "http://aimpl.org/connectedbalanced/3/#0df1011a6fa8a3c46e2c977b7e599895",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderat... | null | null | null | not-recorded | not-recorded | null | [] | [] | Mathematical foundations of sampling connected balanced graph partitions · AIMPL workshop record | ## Workshop introduction
This is a list of open research problems compiled during the June 2025 AIM workshop, maintained by Jamie Tucker-Foltz.
Last updated: May 2026
If you have questions, comments, or updates on the status of any problem, please email: j.tuckerfoltz@yale.edu
## Section context
These problems con... | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Jeanne Clelland | null | null | null | [
{
"kind": "website",
"citation": "Mathematical foundations of sampling connected balanced graph partitions · Original question",
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1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e599cc5 | problem | aim-0df1011a6fa8a3c46e2c977b7e599cc5 | #31 Most likely MST on grids | {
"main": "math",
"sub": "probability",
"slug": "probability",
"name": "Probability",
"original_discipline": "mathematics"
} | [] | [
{
"code": "60",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Probability. http://aimpl.org/connectedbalanced/ Not an author-supplied MSC code."
}
] | Can we find the MST probability maximizer (with iid random weights) in, say, an $8 \times 8$ grid graph? Can we approximately optimize this numerically? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Mathematical foundations of sampling connected balanced graph partitions",
"type": "workshop-problem-list",
"url": "http://aimpl.org/connectedbalanced/3/#0df1011a6fa8a3c46e2c977b7e599cc5",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderat... | null | null | null | not-recorded | not-recorded | null | [] | [] | Mathematical foundations of sampling connected balanced graph partitions · AIMPL workshop record | ## Workshop introduction
This is a list of open research problems compiled during the June 2025 AIM workshop, maintained by Jamie Tucker-Foltz.
Last updated: May 2026
If you have questions, comments, or updates on the status of any problem, please email: j.tuckerfoltz@yale.edu
## Section context
These problems con... | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Kris Tapp | null | null | null | [
{
"kind": "website",
"citation": "Mathematical foundations of sampling connected balanced graph partitions · Original question",
"url": "http://aimpl.org/connectedbalanced/3/#0df1011a6fa8a3c46e2c977b7e599cc5",
"note": null,
"sort_order": 0
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{
"kind": "website",
"citation": "AIMPL s... | {
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"evidence_label": "Workshop record · status unassessed",
"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
"current-status-unassessed",
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] | [] | {
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} | 2026-10-10T16:07:49.246Z | {"database_id":"da8a5835-0967-4dfe-b4c2-9a1efb7f006c","format_issues":null,"number":11180} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e59b27d | problem | aim-0df1011a6fa8a3c46e2c977b7e59b27d | #33 ReCom transition function complexity | {
"main": "math",
"sub": "probability",
"slug": "probability",
"name": "Probability",
"original_discipline": "mathematics"
} | [] | [
{
"code": "60",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Probability. http://aimpl.org/connectedbalanced/ Not an author-supplied MSC code."
}
] | Does the ReCom transition function run in polynomial time? Or can it get stuck in configurations where it is very unlikely a random tree will be splittable? Can we at least show that such configurations are exponentially unlikely? | partially-solved | {
"key": "aimpl",
"name": "AIMPL · Mathematical foundations of sampling connected balanced graph partitions",
"type": "workshop-problem-list",
"url": "http://aimpl.org/connectedbalanced/2/#0df1011a6fa8a3c46e2c977b7e59b27d",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderat... | null | null | null | not-recorded | not-recorded | null | [] | [] | Mathematical foundations of sampling connected balanced graph partitions · AIMPL workshop record | ## Workshop introduction
This is a list of open research problems compiled during the June 2025 AIM workshop, maintained by Jamie Tucker-Foltz.
Last updated: May 2026
If you have questions, comments, or updates on the status of any problem, please email: j.tuckerfoltz@yale.edu
## Section context
These questions co... | Dated source record, inspected 2026-09-10. Source reports a negative answer to the first question and explicitly leaves the likelihood question open. Source-reported results have not been independently verified.
## Status note in the source
Micah Gold has answered the first question in the negative, constructing a fa... | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Mathematical foundations of sampling connected balanced graph partitions · Original question",
"url": "http://aimpl.org/connectedbalanced/2/#0df1011a6fa8a3c46e2c977b7e59b27d",
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{
"kind": "website",
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"evidence_label": "Source reports partially-solved",
"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; CC B... | null | [
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-09T22:23:49.983Z",
"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:07.899Z",
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} | 2026-10-10T16:07:49.246Z | {"database_id":"3cb5d699-b4aa-4bfd-841c-f8829c7fc701","format_issues":null,"number":11175} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e59caef | problem | aim-0df1011a6fa8a3c46e2c977b7e59caef | #34 Cycle walk variant on splittable trees | {
"main": "math",
"sub": "probability",
"slug": "probability",
"name": "Probability",
"original_discipline": "mathematics"
} | [] | [
{
"code": "60",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Probability. http://aimpl.org/connectedbalanced/ Not an author-supplied MSC code."
}
] | Suppose we run the up-down walk but restrict to trees that are k-splittable. Is this Markov chain ergodic, and if so, does it mix rapidly? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Mathematical foundations of sampling connected balanced graph partitions",
"type": "workshop-problem-list",
"url": "http://aimpl.org/connectedbalanced/1/#0df1011a6fa8a3c46e2c977b7e59caef",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderat... | null | null | null | not-recorded | not-recorded | null | [] | [] | Mathematical foundations of sampling connected balanced graph partitions · AIMPL workshop record | ## Workshop introduction
This is a list of open research problems compiled during the June 2025 AIM workshop, maintained by Jamie Tucker-Foltz.
Last updated: May 2026
If you have questions, comments, or updates on the status of any problem, please email: j.tuckerfoltz@yale.edu
## Section context
These questions co... | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
## Status note in the source
A group from the workshop has made significant progress on this problem, and a preprint is now available on arXiv: https://arxiv.o... | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Gregory Herschlag | null | null | null | [
{
"kind": "website",
"citation": "Mathematical foundations of sampling connected balanced graph partitions · Original question",
"url": "http://aimpl.org/connectedbalanced/1/#0df1011a6fa8a3c46e2c977b7e59caef",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL s... | {
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"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
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"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:07.847Z",
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} | 2026-10-10T16:07:49.246Z | {"database_id":"fcb86b0f-bef4-4543-8e43-a021cd8fdaed","format_issues":null,"number":11167} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e5a33e0 | problem | aim-0df1011a6fa8a3c46e2c977b7e5a33e0 | Embedding Unions · Question 1.1 | {
"main": "math",
"sub": "analysis",
"slug": "analysis",
"name": "Analysis",
"original_discipline": "mathematics"
} | [] | [
{
"code": "46",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Metric embeddings. http://aimpl.org/metricembeddings/ Not an author-supplied MSC code."
}
] | Suppose $A$ and $B$ are subsets of some metric space such that both $A$ and $B$ biLipschitzly embed into $L_1$. Does $A \cup B$ biLipschitzly embed into $L_1$? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Metric embeddings",
"type": "workshop-problem-list",
"url": "http://aimpl.org/metricembeddings/1/#0df1011a6fa8a3c46e2c977b7e5a33e0",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Problem lists produced ... | null | null | null | not-recorded | not-recorded | null | [] | [] | Metric embeddings · AIMPL workshop record | ## Section context
If some collection of subsets of a Banach space embed into a Banach space with low distortion, is the same true of their union? | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Bill Johnson | null | null | null | [
{
"kind": "website",
"citation": "Metric embeddings · Original question",
"url": "http://aimpl.org/metricembeddings/1/#0df1011a6fa8a3c46e2c977b7e5a33e0",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "http://aimpl.org/metric... | {
"source_record": "0df1011a6fa8a3c46e2c977b7e5a33e0",
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"evidence_label": "Workshop record · status unassessed",
"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-09T22:23:49.983Z",
"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:08.053Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"1993911e-7760-48d1-8f3a-8c10f04f7773","format_issues":null,"number":11201} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e5a42c6 | problem | aim-0df1011a6fa8a3c46e2c977b7e5a42c6 | Embedding Unions · Question 1.2 | {
"main": "math",
"sub": "analysis",
"slug": "analysis",
"name": "Analysis",
"original_discipline": "mathematics"
} | [] | [
{
"code": "46",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Metric embeddings. http://aimpl.org/metricembeddings/ Not an author-supplied MSC code."
}
] | Fix $D<\infty$. Suppose $A_1, A_2, \dots A_k$ are subsets of some metric space such that $c_2(A_i) \leq D$ for each $i$. What are the asymptotics (in terms of $k$) of $c_2(A_1 \cup A_2 \cup \dots A_k)$? Note that a trivial lower bound of $\Omega(\log k)$ is obtained by taking $A_i$ to be singleton sets in an expander. | unassessed | {
"key": "aimpl",
"name": "AIMPL · Metric embeddings",
"type": "workshop-problem-list",
"url": "http://aimpl.org/metricembeddings/1/#0df1011a6fa8a3c46e2c977b7e5a42c6",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Problem lists produced ... | null | null | null | not-recorded | not-recorded | null | [] | [] | Metric embeddings · AIMPL workshop record | ## Section context
If some collection of subsets of a Banach space embed into a Banach space with low distortion, is the same true of their union? | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Assaf Naor | null | null | null | [
{
"kind": "website",
"citation": "Metric embeddings · Original question",
"url": "http://aimpl.org/metricembeddings/1/#0df1011a6fa8a3c46e2c977b7e5a42c6",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "http://aimpl.org/metric... | {
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"evidence_label": "Workshop record · status unassessed",
"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
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] | [] | {
"created_at": "2026-09-09T22:23:49.983Z",
"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:08.060Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"35c1ed11-4204-493c-a3fd-8a804172e997","format_issues":null,"number":11202} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e5a6f21 | problem | aim-0df1011a6fa8a3c46e2c977b7e5a6f21 | Uniform and Coarse Embeddings · Question 2.1 | {
"main": "math",
"sub": "analysis",
"slug": "analysis",
"name": "Analysis",
"original_discipline": "mathematics"
} | [] | [
{
"code": "46",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Metric embeddings. http://aimpl.org/metricembeddings/ Not an author-supplied MSC code."
}
] | Suppose $X$ is a Banach space that coarsely contains every locally finite metric space. Does $X$ have trivial cotype? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Metric embeddings",
"type": "workshop-problem-list",
"url": "http://aimpl.org/metricembeddings/2/#0df1011a6fa8a3c46e2c977b7e5a6f21",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Problem lists produced ... | null | null | null | not-recorded | not-recorded | null | [] | [] | Metric embeddings · AIMPL workshop record | null | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Alexandros Eskenazis | null | null | null | [
{
"kind": "website",
"citation": "Metric embeddings · Original question",
"url": "http://aimpl.org/metricembeddings/2/#0df1011a6fa8a3c46e2c977b7e5a6f21",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "http://aimpl.org/metric... | {
"source_record": "0df1011a6fa8a3c46e2c977b7e5a6f21",
"imported_at": "2026-09-10",
"status_as_of": "2026-09-10 source snapshot; not a current-status certification",
"evidence_label": "Workshop record · status unassessed",
"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-09T22:23:49.983Z",
"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:08.066Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"47884696-dcbf-45b8-adc3-c80a94e6fc56","format_issues":null,"number":11203} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e5a73df | problem | aim-0df1011a6fa8a3c46e2c977b7e5a73df | Uniform and Coarse Embeddings · Question 2.2 | {
"main": "math",
"sub": "analysis",
"slug": "analysis",
"name": "Analysis",
"original_discipline": "mathematics"
} | [] | [
{
"code": "46",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Metric embeddings. http://aimpl.org/metricembeddings/ Not an author-supplied MSC code."
}
] | Does every metric space of bounded geometry admit a coarse embedding into a (possibly infinite dimensional) CAT(0) space? Does every finitely generated group admit such an embedding? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Metric embeddings",
"type": "workshop-problem-list",
"url": "http://aimpl.org/metricembeddings/2/#0df1011a6fa8a3c46e2c977b7e5a73df",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Problem lists produced ... | null | null | null | not-recorded | not-recorded | null | [] | [] | Metric embeddings · AIMPL workshop record | null | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Guoliang Yu | null | null | null | [
{
"kind": "website",
"citation": "Metric embeddings · Original question",
"url": "http://aimpl.org/metricembeddings/2/#0df1011a6fa8a3c46e2c977b7e5a73df",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "http://aimpl.org/metric... | {
"source_record": "0df1011a6fa8a3c46e2c977b7e5a73df",
"imported_at": "2026-09-10",
"status_as_of": "2026-09-10 source snapshot; not a current-status certification",
"evidence_label": "Workshop record · status unassessed",
"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-09T22:23:49.983Z",
"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:08.071Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"75e8db8f-adcf-45c2-84b5-9ec14494e1ce","format_issues":null,"number":11204} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e5a8374 | problem | aim-0df1011a6fa8a3c46e2c977b7e5a8374 | Uniform and Coarse Embeddings · Question 2.3 | {
"main": "math",
"sub": "analysis",
"slug": "analysis",
"name": "Analysis",
"original_discipline": "mathematics"
} | [] | [
{
"code": "46",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Metric embeddings. http://aimpl.org/metricembeddings/ Not an author-supplied MSC code."
}
] | Let $q \in (2,\infty)$. Does $L_q$ admit a coarse or uniform embedding into $\ell_q$? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Metric embeddings",
"type": "workshop-problem-list",
"url": "http://aimpl.org/metricembeddings/2/#0df1011a6fa8a3c46e2c977b7e5a8374",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Problem lists produced ... | null | null | null | not-recorded | not-recorded | null | [] | [] | Metric embeddings · AIMPL workshop record | null | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Florent Baudier | null | null | null | [
{
"kind": "website",
"citation": "Metric embeddings · Original question",
"url": "http://aimpl.org/metricembeddings/2/#0df1011a6fa8a3c46e2c977b7e5a8374",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "http://aimpl.org/metric... | {
"source_record": "0df1011a6fa8a3c46e2c977b7e5a8374",
"imported_at": "2026-09-10",
"status_as_of": "2026-09-10 source snapshot; not a current-status certification",
"evidence_label": "Workshop record · status unassessed",
"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-09T22:23:49.983Z",
"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:08.076Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"96af1efa-ac3a-4d6d-8b7e-9278282cc4c7","format_issues":null,"number":11205} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e5a8c3f | problem | aim-0df1011a6fa8a3c46e2c977b7e5a8c3f | Uniform and Coarse Embeddings · Question 2.4 | {
"main": "math",
"sub": "analysis",
"slug": "analysis",
"name": "Analysis",
"original_discipline": "mathematics"
} | [] | [
{
"code": "46",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Metric embeddings. http://aimpl.org/metricembeddings/ Not an author-supplied MSC code."
}
] | Let $q \in (2,\infty)$. Does $(L_q,\|\cdot\|^{\frac12})$ admit a biLipschitz embedding into $L_q$? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Metric embeddings",
"type": "workshop-problem-list",
"url": "http://aimpl.org/metricembeddings/2/#0df1011a6fa8a3c46e2c977b7e5a8c3f",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Problem lists produced ... | null | null | null | not-recorded | not-recorded | null | [] | [] | Metric embeddings · AIMPL workshop record | null | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Assaf Naor | null | null | null | [
{
"kind": "website",
"citation": "Metric embeddings · Original question",
"url": "http://aimpl.org/metricembeddings/2/#0df1011a6fa8a3c46e2c977b7e5a8c3f",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "http://aimpl.org/metric... | {
"source_record": "0df1011a6fa8a3c46e2c977b7e5a8c3f",
"imported_at": "2026-09-10",
"status_as_of": "2026-09-10 source snapshot; not a current-status certification",
"evidence_label": "Workshop record · status unassessed",
"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-09T22:23:49.983Z",
"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:08.081Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"6242a561-aee5-4864-ae5b-7e1839976288","format_issues":null,"number":11206} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e5a9966 | problem | aim-0df1011a6fa8a3c46e2c977b7e5a9966 | Uniform and Coarse Embeddings · Question 2.5 | {
"main": "math",
"sub": "analysis",
"slug": "analysis",
"name": "Analysis",
"original_discipline": "mathematics"
} | [] | [
{
"code": "46",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Metric embeddings. http://aimpl.org/metricembeddings/ Not an author-supplied MSC code."
}
] | Is there a bounded geometry space that coarsely contains every bounded geometry space? Is there a bounded geometry space with Property A that coarsely contains every bounded geometry space with Property A? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Metric embeddings",
"type": "workshop-problem-list",
"url": "http://aimpl.org/metricembeddings/2/#0df1011a6fa8a3c46e2c977b7e5a9966",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Problem lists produced ... | null | null | null | not-recorded | not-recorded | null | [] | [] | Metric embeddings · AIMPL workshop record | null | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Bruno de Mendonça Braga | null | null | null | [
{
"kind": "website",
"citation": "Metric embeddings · Original question",
"url": "http://aimpl.org/metricembeddings/2/#0df1011a6fa8a3c46e2c977b7e5a9966",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "http://aimpl.org/metric... | {
"source_record": "0df1011a6fa8a3c46e2c977b7e5a9966",
"imported_at": "2026-09-10",
"status_as_of": "2026-09-10 source snapshot; not a current-status certification",
"evidence_label": "Workshop record · status unassessed",
"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-09T22:23:49.983Z",
"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:08.087Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"768941ef-e340-4880-913e-7334f8245143","format_issues":null,"number":11207} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e5ac59d | problem | aim-0df1011a6fa8a3c46e2c977b7e5ac59d | Uniform and Coarse Embeddings · Question 2.6 | {
"main": "math",
"sub": "analysis",
"slug": "analysis",
"name": "Analysis",
"original_discipline": "mathematics"
} | [] | [
{
"code": "46",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Metric embeddings. http://aimpl.org/metricembeddings/ Not an author-supplied MSC code."
}
] | Is it true that for every bounded degree graph $G$, there exists a finitely generated group that coarsely contains $G$? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Metric embeddings",
"type": "workshop-problem-list",
"url": "http://aimpl.org/metricembeddings/2/#0df1011a6fa8a3c46e2c977b7e5ac59d",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Problem lists produced ... | null | null | null | not-recorded | not-recorded | null | [] | [] | Metric embeddings · AIMPL workshop record | null | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Guoliang Yu | null | null | null | [
{
"kind": "website",
"citation": "Metric embeddings · Original question",
"url": "http://aimpl.org/metricembeddings/2/#0df1011a6fa8a3c46e2c977b7e5ac59d",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "http://aimpl.org/metric... | {
"source_record": "0df1011a6fa8a3c46e2c977b7e5ac59d",
"imported_at": "2026-09-10",
"status_as_of": "2026-09-10 source snapshot; not a current-status certification",
"evidence_label": "Workshop record · status unassessed",
"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-09T22:23:49.983Z",
"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:08.092Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"7366b17d-47a7-46da-822e-85f54a54739f","format_issues":null,"number":11208} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e5ac5dd | problem | aim-0df1011a6fa8a3c46e2c977b7e5ac5dd | Uniform and Coarse Embeddings · Question 2.7 | {
"main": "math",
"sub": "analysis",
"slug": "analysis",
"name": "Analysis",
"original_discipline": "mathematics"
} | [] | [
{
"code": "46",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Metric embeddings. http://aimpl.org/metricembeddings/ Not an author-supplied MSC code."
}
] | Does the unit ball of every superreflexive Banach space uniformly embed into some Hilbert space? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Metric embeddings",
"type": "workshop-problem-list",
"url": "http://aimpl.org/metricembeddings/2/#0df1011a6fa8a3c46e2c977b7e5ac5dd",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Problem lists produced ... | null | null | null | not-recorded | not-recorded | null | [] | [] | Metric embeddings · AIMPL workshop record | null | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Florent Baudier | null | null | null | [
{
"kind": "website",
"citation": "Metric embeddings · Original question",
"url": "http://aimpl.org/metricembeddings/2/#0df1011a6fa8a3c46e2c977b7e5ac5dd",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "http://aimpl.org/metric... | {
"source_record": "0df1011a6fa8a3c46e2c977b7e5ac5dd",
"imported_at": "2026-09-10",
"status_as_of": "2026-09-10 source snapshot; not a current-status certification",
"evidence_label": "Workshop record · status unassessed",
"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-09T22:23:49.983Z",
"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:08.098Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"01ff2b59-16b2-4bd4-8b14-8ed0c3d026e3","format_issues":null,"number":11209} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e5ad584 | problem | aim-0df1011a6fa8a3c46e2c977b7e5ad584 | Markov Type and Related Problems · Question 3.1 | {
"main": "math",
"sub": "analysis",
"slug": "analysis",
"name": "Analysis",
"original_discipline": "mathematics"
} | [] | [
{
"code": "46",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Metric embeddings. http://aimpl.org/metricembeddings/ Not an author-supplied MSC code."
}
] | Is every Banach space with Markov type 2 superreflexive? More generally, is every Banach space with nontrivial Markov type superreflexive? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Metric embeddings",
"type": "workshop-problem-list",
"url": "http://aimpl.org/metricembeddings/3/#0df1011a6fa8a3c46e2c977b7e5ad584",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Problem lists produced ... | null | null | null | not-recorded | not-recorded | null | [] | [] | Metric embeddings · AIMPL workshop record | null | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Keith Ball | null | null | null | [
{
"kind": "website",
"citation": "Metric embeddings · Original question",
"url": "http://aimpl.org/metricembeddings/3/#0df1011a6fa8a3c46e2c977b7e5ad584",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "http://aimpl.org/metric... | {
"source_record": "0df1011a6fa8a3c46e2c977b7e5ad584",
"imported_at": "2026-09-10",
"status_as_of": "2026-09-10 source snapshot; not a current-status certification",
"evidence_label": "Workshop record · status unassessed",
"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-09T22:23:49.983Z",
"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:08.104Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"05226d43-77ff-4325-84bb-920b923744aa","format_issues":null,"number":11210} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e5ad86c | problem | aim-0df1011a6fa8a3c46e2c977b7e5ad86c | Markov Type and Related Problems · Question 3.2 | {
"main": "math",
"sub": "analysis",
"slug": "analysis",
"name": "Analysis",
"original_discipline": "mathematics"
} | [] | [
{
"code": "46",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Metric embeddings. http://aimpl.org/metricembeddings/ Not an author-supplied MSC code."
}
] | Is Markov type 2 equivalent to maximal Markov type 2 for general metrics spaces? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Metric embeddings",
"type": "workshop-problem-list",
"url": "http://aimpl.org/metricembeddings/3/#0df1011a6fa8a3c46e2c977b7e5ad86c",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Problem lists produced ... | null | null | null | not-recorded | not-recorded | null | [] | [] | Metric embeddings · AIMPL workshop record | null | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Tom Hutchcroft | null | null | null | [
{
"kind": "website",
"citation": "Metric embeddings · Original question",
"url": "http://aimpl.org/metricembeddings/3/#0df1011a6fa8a3c46e2c977b7e5ad86c",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "http://aimpl.org/metric... | {
"source_record": "0df1011a6fa8a3c46e2c977b7e5ad86c",
"imported_at": "2026-09-10",
"status_as_of": "2026-09-10 source snapshot; not a current-status certification",
"evidence_label": "Workshop record · status unassessed",
"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-09T22:23:49.983Z",
"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:08.109Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"820d375b-547b-4344-9733-7309e0a4ac46","format_issues":null,"number":11211} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e5ae323 | problem | aim-0df1011a6fa8a3c46e2c977b7e5ae323 | Markov Type and Related Problems · Question 3.3 | {
"main": "math",
"sub": "analysis",
"slug": "analysis",
"name": "Analysis",
"original_discipline": "mathematics"
} | [] | [
{
"code": "46",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Metric embeddings. http://aimpl.org/metricembeddings/ Not an author-supplied MSC code."
}
] | Does there exist a sequence of $k$-regular graphs with unbounded girth that serve as test spaces for superreflexivity? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Metric embeddings",
"type": "workshop-problem-list",
"url": "http://aimpl.org/metricembeddings/3/#0df1011a6fa8a3c46e2c977b7e5ae323",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Problem lists produced ... | null | null | null | not-recorded | not-recorded | null | [] | [] | Metric embeddings · AIMPL workshop record | null | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Alexandros Eskenazis | null | null | null | [
{
"kind": "website",
"citation": "Metric embeddings · Original question",
"url": "http://aimpl.org/metricembeddings/3/#0df1011a6fa8a3c46e2c977b7e5ae323",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "http://aimpl.org/metric... | {
"source_record": "0df1011a6fa8a3c46e2c977b7e5ae323",
"imported_at": "2026-09-10",
"status_as_of": "2026-09-10 source snapshot; not a current-status certification",
"evidence_label": "Workshop record · status unassessed",
"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-09T22:23:49.983Z",
"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:08.114Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"91a430e9-cf82-4aef-bca6-236ff3384dbd","format_issues":null,"number":11212} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e5af5e5 | problem | aim-0df1011a6fa8a3c46e2c977b7e5af5e5 | Expanders · Question 4.1 | {
"main": "math",
"sub": "analysis",
"slug": "analysis",
"name": "Analysis",
"original_discipline": "mathematics"
} | [] | [
{
"code": "46",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Metric embeddings. http://aimpl.org/metricembeddings/ Not an author-supplied MSC code."
}
] | Does there exist a bounded degree graph that is a nonlinear expander with respect to every Banach space of nontrivial cotype? Is every bounded degree expander a nonlinear expander with respect to every Banach space of nontrivial cotype? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Metric embeddings",
"type": "workshop-problem-list",
"url": "http://aimpl.org/metricembeddings/4/#0df1011a6fa8a3c46e2c977b7e5af5e5",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Problem lists produced ... | null | null | null | not-recorded | not-recorded | null | [] | [] | Metric embeddings · AIMPL workshop record | null | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Ramon van Handel | null | null | null | [
{
"kind": "website",
"citation": "Metric embeddings · Original question",
"url": "http://aimpl.org/metricembeddings/4/#0df1011a6fa8a3c46e2c977b7e5af5e5",
"note": null,
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},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "http://aimpl.org/metric... | {
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} | 2026-10-10T16:07:49.246Z | {"database_id":"f234db84-b94c-42dc-b537-9df544616b4c","format_issues":null,"number":11213} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e5afef1 | problem | aim-0df1011a6fa8a3c46e2c977b7e5afef1 | Expanders · Question 4.2 | {
"main": "math",
"sub": "analysis",
"slug": "analysis",
"name": "Analysis",
"original_discipline": "mathematics"
} | [] | [
{
"code": "46",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Metric embeddings. http://aimpl.org/metricembeddings/ Not an author-supplied MSC code."
}
] | Does there exist a locally finite transitive graph whose balls (or some subsequence of balls) are expanders? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Metric embeddings",
"type": "workshop-problem-list",
"url": "http://aimpl.org/metricembeddings/4/#0df1011a6fa8a3c46e2c977b7e5afef1",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Problem lists produced ... | null | null | null | not-recorded | not-recorded | null | [] | [] | Metric embeddings · AIMPL workshop record | ## Question context
The following question was originally asked by Itai Benjamini | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Tom Hutchcroft | null | null | null | [
{
"kind": "website",
"citation": "Metric embeddings · Original question",
"url": "http://aimpl.org/metricembeddings/4/#0df1011a6fa8a3c46e2c977b7e5afef1",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "http://aimpl.org/metric... | {
"source_record": "0df1011a6fa8a3c46e2c977b7e5afef1",
"imported_at": "2026-09-10",
"status_as_of": "2026-09-10 source snapshot; not a current-status certification",
"evidence_label": "Workshop record · status unassessed",
"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
"current-status-unassessed",
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] | [] | {
"created_at": "2026-09-09T22:23:49.983Z",
"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:08.125Z",
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} | 2026-10-10T16:07:49.246Z | {"database_id":"c7d4760c-f77b-4896-8436-9eaa600925c9","format_issues":null,"number":11214} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e5b0388 | problem | aim-0df1011a6fa8a3c46e2c977b7e5b0388 | Low Dimensional and Sparse Embeddings · Question 5.1 | {
"main": "math",
"sub": "analysis",
"slug": "analysis",
"name": "Analysis",
"original_discipline": "mathematics"
} | [] | [
{
"code": "46",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Metric embeddings. http://aimpl.org/metricembeddings/ Not an author-supplied MSC code."
}
] | Set $d(n)$ to be the minimal integer $d$ with the property that every $n$-point metric space isometrically embeds into $\ell_\infty^d$. What are the asymptotics of $n - d(n)$? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Metric embeddings",
"type": "workshop-problem-list",
"url": "http://aimpl.org/metricembeddings/5/#0df1011a6fa8a3c46e2c977b7e5b0388",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Problem lists produced ... | null | null | null | not-recorded | not-recorded | null | [] | [] | Metric embeddings · AIMPL workshop record | null | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Alexandros Eskenazis | null | null | null | [
{
"kind": "website",
"citation": "Metric embeddings · Original question",
"url": "http://aimpl.org/metricembeddings/5/#0df1011a6fa8a3c46e2c977b7e5b0388",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "http://aimpl.org/metric... | {
"source_record": "0df1011a6fa8a3c46e2c977b7e5b0388",
"imported_at": "2026-09-10",
"status_as_of": "2026-09-10 source snapshot; not a current-status certification",
"evidence_label": "Workshop record · status unassessed",
"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-09T22:23:49.983Z",
"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:08.131Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"ca7e1cb5-dea1-4310-897c-2b68e0421f0b","format_issues":null,"number":11215} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e5b12fa | problem | aim-0df1011a6fa8a3c46e2c977b7e5b12fa | Low Dimensional and Sparse Embeddings · Question 5.2 | {
"main": "math",
"sub": "analysis",
"slug": "analysis",
"name": "Analysis",
"original_discipline": "mathematics"
} | [] | [
{
"code": "46",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Metric embeddings. http://aimpl.org/metricembeddings/ Not an author-supplied MSC code."
}
] | For each $\alpha > 1, n \in \mathbb{N}$, let $k^n_\alpha$ denote the minimal $k$ such that every $n$-point metric space embeds with distortion $\alpha$ into some $k$-dimensional normed space. What is the behavior of $k_\alpha^n$ when $\frac{\log n}{\log\log n} \leq \alpha \leq \log n \cdot \log\log n$? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Metric embeddings",
"type": "workshop-problem-list",
"url": "http://aimpl.org/metricembeddings/5/#0df1011a6fa8a3c46e2c977b7e5b12fa",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Problem lists produced ... | null | null | null | not-recorded | not-recorded | null | [] | [] | Metric embeddings · AIMPL workshop record | null | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Dylan Altschuler | null | null | null | [
{
"kind": "website",
"citation": "Metric embeddings · Original question",
"url": "http://aimpl.org/metricembeddings/5/#0df1011a6fa8a3c46e2c977b7e5b12fa",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "http://aimpl.org/metric... | {
"source_record": "0df1011a6fa8a3c46e2c977b7e5b12fa",
"imported_at": "2026-09-10",
"status_as_of": "2026-09-10 source snapshot; not a current-status certification",
"evidence_label": "Workshop record · status unassessed",
"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-09T22:23:49.983Z",
"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:08.136Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"6d6036e8-6961-420d-80de-242398aabf20","format_issues":null,"number":11216} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e5b1715 | problem | aim-0df1011a6fa8a3c46e2c977b7e5b1715 | Low Dimensional and Sparse Embeddings · Question 5.3 | {
"main": "math",
"sub": "analysis",
"slug": "analysis",
"name": "Analysis",
"original_discipline": "mathematics"
} | [] | [
{
"code": "46",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Metric embeddings. http://aimpl.org/metricembeddings/ Not an author-supplied MSC code."
}
] | Does every $n$-point subset of $\ell_1$ embed with average distortion $1+\varepsilon$ into $\ell_1^d$, where $d = O_\varepsilon(\log n)$? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Metric embeddings",
"type": "workshop-problem-list",
"url": "http://aimpl.org/metricembeddings/5/#0df1011a6fa8a3c46e2c977b7e5b1715",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Problem lists produced ... | null | null | null | not-recorded | not-recorded | null | [] | [] | Metric embeddings · AIMPL workshop record | null | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Assaf Naor | null | null | null | [
{
"kind": "website",
"citation": "Metric embeddings · Original question",
"url": "http://aimpl.org/metricembeddings/5/#0df1011a6fa8a3c46e2c977b7e5b1715",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "http://aimpl.org/metric... | {
"source_record": "0df1011a6fa8a3c46e2c977b7e5b1715",
"imported_at": "2026-09-10",
"status_as_of": "2026-09-10 source snapshot; not a current-status certification",
"evidence_label": "Workshop record · status unassessed",
"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-09T22:23:49.983Z",
"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:08.141Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"09f28691-e70e-41c3-81a9-10f23bd71ad2","format_issues":null,"number":11217} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e5b3070 | problem | aim-0df1011a6fa8a3c46e2c977b7e5b3070 | Transportation Cost and Wasserstein Spaces · Question 6.1 | {
"main": "math",
"sub": "analysis",
"slug": "analysis",
"name": "Analysis",
"original_discipline": "mathematics"
} | [] | [
{
"code": "46",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Metric embeddings. http://aimpl.org/metricembeddings/ Not an author-supplied MSC code."
}
] | Does there exist a function $f: [0,\infty) \to [0,\infty)$ such that, for every finite metric space $M$, the distortion of $M$ into convex combinations of dominating tree metrics is bounded by $f(c_1({\rm TC}(M)))$? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Metric embeddings",
"type": "workshop-problem-list",
"url": "http://aimpl.org/metricembeddings/6/#0df1011a6fa8a3c46e2c977b7e5b3070",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Problem lists produced ... | null | null | null | not-recorded | not-recorded | null | [] | [] | Metric embeddings · AIMPL workshop record | null | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Mikhail Ostrovskii | null | null | null | [
{
"kind": "website",
"citation": "Metric embeddings · Original question",
"url": "http://aimpl.org/metricembeddings/6/#0df1011a6fa8a3c46e2c977b7e5b3070",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "http://aimpl.org/metric... | {
"source_record": "0df1011a6fa8a3c46e2c977b7e5b3070",
"imported_at": "2026-09-10",
"status_as_of": "2026-09-10 source snapshot; not a current-status certification",
"evidence_label": "Workshop record · status unassessed",
"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-09T22:23:49.983Z",
"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:08.152Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"703f12ca-4091-463a-855a-61aba41b38c8","format_issues":null,"number":11219} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e5b34ad | problem | aim-0df1011a6fa8a3c46e2c977b7e5b34ad | Transportation Cost and Wasserstein Spaces · Question 6.2 | {
"main": "math",
"sub": "analysis",
"slug": "analysis",
"name": "Analysis",
"original_discipline": "mathematics"
} | [] | [
{
"code": "46",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Metric embeddings. http://aimpl.org/metricembeddings/ Not an author-supplied MSC code."
}
] | Let $M = \{1,\dots \Delta\}^d$ equipped with the $\ell_1$ or $\ell_2$ metric. Let $Y$ the subset of $W_1(M)$ consisting of uniform distributions over $s$-point subsets of $M$. What are the asymptotics of $c_1(Y)$ in terms of $\Delta,d,s$? Can $c_1(Y)$ be bounded by a function of $s$ only? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Metric embeddings",
"type": "workshop-problem-list",
"url": "http://aimpl.org/metricembeddings/6/#0df1011a6fa8a3c46e2c977b7e5b34ad",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Problem lists produced ... | null | null | null | not-recorded | not-recorded | null | [] | [] | Metric embeddings · AIMPL workshop record | null | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Erik Waingarten | null | null | null | [
{
"kind": "website",
"citation": "Metric embeddings · Original question",
"url": "http://aimpl.org/metricembeddings/6/#0df1011a6fa8a3c46e2c977b7e5b34ad",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "http://aimpl.org/metric... | {
"source_record": "0df1011a6fa8a3c46e2c977b7e5b34ad",
"imported_at": "2026-09-10",
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"evidence_label": "Workshop record · status unassessed",
"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-09T22:23:49.983Z",
"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:08.158Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"62296d5c-a8d0-4450-bc5d-d1d84935f0b3","format_issues":null,"number":11220} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e5b3555 | problem | aim-0df1011a6fa8a3c46e2c977b7e5b3555 | Transportation Cost and Wasserstein Spaces · Question 6.3 | {
"main": "math",
"sub": "analysis",
"slug": "analysis",
"name": "Analysis",
"original_discipline": "mathematics"
} | [] | [
{
"code": "46",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Metric embeddings. http://aimpl.org/metricembeddings/ Not an author-supplied MSC code."
}
] | Let $\{G_n\}_{n=1}^\infty$ be a sequence of bounded degree expanders. Does the $\ell_2$-sum $(\oplus_n \mathrm{TC}(G_n))_2$ have trivial cotype? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Metric embeddings",
"type": "workshop-problem-list",
"url": "http://aimpl.org/metricembeddings/6/#0df1011a6fa8a3c46e2c977b7e5b3555",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Problem lists produced ... | null | null | null | not-recorded | not-recorded | null | [] | [] | Metric embeddings · AIMPL workshop record | null | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Mikhail Ostrovskii | null | null | null | [
{
"kind": "website",
"citation": "Metric embeddings · Original question",
"url": "http://aimpl.org/metricembeddings/6/#0df1011a6fa8a3c46e2c977b7e5b3555",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "http://aimpl.org/metric... | {
"source_record": "0df1011a6fa8a3c46e2c977b7e5b3555",
"imported_at": "2026-09-10",
"status_as_of": "2026-09-10 source snapshot; not a current-status certification",
"evidence_label": "Workshop record · status unassessed",
"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-09T22:23:49.983Z",
"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:08.164Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"1a79d19f-8fd1-4930-bd3e-f9b51d63eed6","format_issues":null,"number":11221} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e5b64c6 | problem | aim-0df1011a6fa8a3c46e2c977b7e5b64c6 | BiLipschitz Embeddings of Groups · Question 7.1 | {
"main": "math",
"sub": "analysis",
"slug": "analysis",
"name": "Analysis",
"original_discipline": "mathematics"
} | [] | [
{
"code": "46",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Metric embeddings. http://aimpl.org/metricembeddings/ Not an author-supplied MSC code."
}
] | Does the planar lamplighter group $\mathbb{Z}_2 \wr \mathbb{Z}^2$ biLipschitzly embed into $L_1$? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Metric embeddings",
"type": "workshop-problem-list",
"url": "http://aimpl.org/metricembeddings/7/#0df1011a6fa8a3c46e2c977b7e5b64c6",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Problem lists produced ... | null | null | null | not-recorded | not-recorded | null | [] | [] | Metric embeddings · AIMPL workshop record | null | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Florent Baudier | null | null | null | [
{
"kind": "website",
"citation": "Metric embeddings · Original question",
"url": "http://aimpl.org/metricembeddings/7/#0df1011a6fa8a3c46e2c977b7e5b64c6",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "http://aimpl.org/metric... | {
"source_record": "0df1011a6fa8a3c46e2c977b7e5b64c6",
"imported_at": "2026-09-10",
"status_as_of": "2026-09-10 source snapshot; not a current-status certification",
"evidence_label": "Workshop record · status unassessed",
"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-09T22:23:49.983Z",
"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:08.175Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"ce245c0e-92a0-4d68-9bb0-3ec44b17eb5a","format_issues":null,"number":11223} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e5b76ed | problem | aim-0df1011a6fa8a3c46e2c977b7e5b76ed | BiLipschitz Embeddings of Groups · Question 7.2 | {
"main": "math",
"sub": "analysis",
"slug": "analysis",
"name": "Analysis",
"original_discipline": "mathematics"
} | [] | [
{
"code": "46",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Metric embeddings. http://aimpl.org/metricembeddings/ Not an author-supplied MSC code."
}
] | Does $\mathrm{SL}_3(\mathbb{Z})$ biLipschitzly embed into $L_1$? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Metric embeddings",
"type": "workshop-problem-list",
"url": "http://aimpl.org/metricembeddings/7/#0df1011a6fa8a3c46e2c977b7e5b76ed",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Problem lists produced ... | null | null | null | not-recorded | not-recorded | null | [] | [] | Metric embeddings · AIMPL workshop record | null | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Chris Gartland | null | null | null | [
{
"kind": "website",
"citation": "Metric embeddings · Original question",
"url": "http://aimpl.org/metricembeddings/7/#0df1011a6fa8a3c46e2c977b7e5b76ed",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "http://aimpl.org/metric... | {
"source_record": "0df1011a6fa8a3c46e2c977b7e5b76ed",
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"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-09T22:23:49.983Z",
"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:08.183Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"8dca1d75-88c4-4d26-a9b3-24166083cdf6","format_issues":null,"number":11224} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e5b8e29 | problem | aim-0df1011a6fa8a3c46e2c977b7e5b8e29 | Group Actions on Banach Spaces · Question 8.1 | {
"main": "math",
"sub": "analysis",
"slug": "analysis",
"name": "Analysis",
"original_discipline": "mathematics"
} | [] | [
{
"code": "46",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Metric embeddings. http://aimpl.org/metricembeddings/ Not an author-supplied MSC code."
}
] | Does the mapping class group over any closed surface act properly and isometrically on some $L_p$-space for $p < \infty$? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Metric embeddings",
"type": "workshop-problem-list",
"url": "http://aimpl.org/metricembeddings/8/#0df1011a6fa8a3c46e2c977b7e5b8e29",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Problem lists produced ... | null | null | null | not-recorded | not-recorded | null | [] | [] | Metric embeddings · AIMPL workshop record | null | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Piotr Nowak | null | null | null | [
{
"kind": "website",
"citation": "Metric embeddings · Original question",
"url": "http://aimpl.org/metricembeddings/8/#0df1011a6fa8a3c46e2c977b7e5b8e29",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "http://aimpl.org/metric... | {
"source_record": "0df1011a6fa8a3c46e2c977b7e5b8e29",
"imported_at": "2026-09-10",
"status_as_of": "2026-09-10 source snapshot; not a current-status certification",
"evidence_label": "Workshop record · status unassessed",
"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-09T22:23:49.983Z",
"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:08.188Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"263d6c07-b42d-489b-abec-e8599a2cd4c0","format_issues":null,"number":11225} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e5ba456 | problem | aim-0df1011a6fa8a3c46e2c977b7e5ba456 | Online Embeddings · Question 9.1 | {
"main": "math",
"sub": "analysis",
"slug": "analysis",
"name": "Analysis",
"original_discipline": "mathematics"
} | [] | [
{
"code": "46",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Metric embeddings. http://aimpl.org/metricembeddings/ Not an author-supplied MSC code."
}
] | Find a nontrivial lower bound (better than $\log n$) for online embedding an $n$-point metric space into $\ell_1$. | unassessed | {
"key": "aimpl",
"name": "AIMPL · Metric embeddings",
"type": "workshop-problem-list",
"url": "http://aimpl.org/metricembeddings/9/#0df1011a6fa8a3c46e2c977b7e5ba456",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Problem lists produced ... | null | null | null | not-recorded | not-recorded | null | [] | [] | Metric embeddings · AIMPL workshop record | null | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Yuri Rabinovich | null | null | null | [
{
"kind": "website",
"citation": "Metric embeddings · Original question",
"url": "http://aimpl.org/metricembeddings/9/#0df1011a6fa8a3c46e2c977b7e5ba456",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "http://aimpl.org/metric... | {
"source_record": "0df1011a6fa8a3c46e2c977b7e5ba456",
"imported_at": "2026-09-10",
"status_as_of": "2026-09-10 source snapshot; not a current-status certification",
"evidence_label": "Workshop record · status unassessed",
"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-09T22:23:49.983Z",
"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:08.194Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"7fb5b60c-e997-4896-bab2-6578bf0d8821","format_issues":null,"number":11226} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e5bb980 | problem | aim-0df1011a6fa8a3c46e2c977b7e5bb980 | Low Dimensional and Sparse Embeddings · Question 5.4 | {
"main": "math",
"sub": "analysis",
"slug": "analysis",
"name": "Analysis",
"original_discipline": "mathematics"
} | [] | [
{
"code": "46",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Metric embeddings. http://aimpl.org/metricembeddings/ Not an author-supplied MSC code."
}
] | Fix a distortion $c<\infty$ and dimension $d<\infty$. Let $M$ be an $n$-point subset of $\ell_1^d$ (or $\ell_\infty^d$). What is the least number of edges needed for a (weighted) graph to admit an embedding of $M$ with distortion $c$ (in terms of $c,d$)? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Metric embeddings",
"type": "workshop-problem-list",
"url": "http://aimpl.org/metricembeddings/5/#0df1011a6fa8a3c46e2c977b7e5bb980",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Problem lists produced ... | null | null | null | not-recorded | not-recorded | null | [] | [] | Metric embeddings · AIMPL workshop record | null | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Alex Andoni | null | null | null | [
{
"kind": "website",
"citation": "Metric embeddings · Original question",
"url": "http://aimpl.org/metricembeddings/5/#0df1011a6fa8a3c46e2c977b7e5bb980",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "http://aimpl.org/metric... | {
"source_record": "0df1011a6fa8a3c46e2c977b7e5bb980",
"imported_at": "2026-09-10",
"status_as_of": "2026-09-10 source snapshot; not a current-status certification",
"evidence_label": "Workshop record · status unassessed",
"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-09T22:23:49.983Z",
"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:08.147Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"7bba9d8f-b579-4d23-baa9-179676db6d65","format_issues":null,"number":11218} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e5bd67c | problem | aim-0df1011a6fa8a3c46e2c977b7e5bd67c | Euclidean Distortion · Question 10.1 | {
"main": "math",
"sub": "analysis",
"slug": "analysis",
"name": "Analysis",
"original_discipline": "mathematics"
} | [] | [
{
"code": "46",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Metric embeddings. http://aimpl.org/metricembeddings/ Not an author-supplied MSC code."
}
] | For an $n$-point subset $M$ of a $d$-dimensional normed space, equipped with the $1/2$-snowflake metric, find, in polynomial time, a nonexpansive embedding of $M$ into $\ell_2$ with $O(\sqrt{\log d}$) average distortion. | unassessed | {
"key": "aimpl",
"name": "AIMPL · Metric embeddings",
"type": "workshop-problem-list",
"url": "http://aimpl.org/metricembeddings/10/#0df1011a6fa8a3c46e2c977b7e5bd67c",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Problem lists produced... | null | null | null | not-recorded | not-recorded | null | [] | [] | Metric embeddings · AIMPL workshop record | null | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Sasha Nikolov | null | null | null | [
{
"kind": "website",
"citation": "Metric embeddings · Original question",
"url": "http://aimpl.org/metricembeddings/10/#0df1011a6fa8a3c46e2c977b7e5bd67c",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "http://aimpl.org/metri... | {
"source_record": "0df1011a6fa8a3c46e2c977b7e5bd67c",
"imported_at": "2026-09-10",
"status_as_of": "2026-09-10 source snapshot; not a current-status certification",
"evidence_label": "Workshop record · status unassessed",
"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-09T22:23:49.983Z",
"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:08.199Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"3f236d52-6945-4404-8eb4-277823e4d432","format_issues":null,"number":11227} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e5bda0d | problem | aim-0df1011a6fa8a3c46e2c977b7e5bda0d | Euclidean Distortion · Question 10.2 | {
"main": "math",
"sub": "analysis",
"slug": "analysis",
"name": "Analysis",
"original_discipline": "mathematics"
} | [] | [
{
"code": "46",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Metric embeddings. http://aimpl.org/metricembeddings/ Not an author-supplied MSC code."
}
] | Suppose $M$ is an $n$-point metric space that embeds with distortion $D<\infty$ into a convex combination of dominating tree metrics. Is $c_2(M) = o_D(\sqrt{\log n})$? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Metric embeddings",
"type": "workshop-problem-list",
"url": "http://aimpl.org/metricembeddings/10/#0df1011a6fa8a3c46e2c977b7e5bda0d",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Problem lists produced... | null | null | null | not-recorded | not-recorded | null | [] | [] | Metric embeddings · AIMPL workshop record | null | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Assaf Naor | null | null | null | [
{
"kind": "website",
"citation": "Metric embeddings · Original question",
"url": "http://aimpl.org/metricembeddings/10/#0df1011a6fa8a3c46e2c977b7e5bda0d",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "http://aimpl.org/metri... | {
"source_record": "0df1011a6fa8a3c46e2c977b7e5bda0d",
"imported_at": "2026-09-10",
"status_as_of": "2026-09-10 source snapshot; not a current-status certification",
"evidence_label": "Workshop record · status unassessed",
"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-09T22:23:49.983Z",
"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:08.205Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"55fa6737-9ac4-448c-ba80-978e680e49c8","format_issues":null,"number":11228} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e5be609 | problem | aim-0df1011a6fa8a3c46e2c977b7e5be609 | Finding a Planted Vector · Question 11.1 | {
"main": "math",
"sub": "analysis",
"slug": "analysis",
"name": "Analysis",
"original_discipline": "mathematics"
} | [] | [
{
"code": "46",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Metric embeddings. http://aimpl.org/metricembeddings/ Not an author-supplied MSC code."
}
] | Suppose we have $n$ vectors in the unit sphere of $\ell_2^{O(\log n)}$ drawn uniformly at random. We place an extra vector at distance $0.1$ from one of the random vectors. Can this vector be found in $O(n \text{ polylog } n)$ time? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Metric embeddings",
"type": "workshop-problem-list",
"url": "http://aimpl.org/metricembeddings/11/#0df1011a6fa8a3c46e2c977b7e5be609",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Problem lists produced... | null | null | null | not-recorded | not-recorded | null | [] | [] | Metric embeddings · AIMPL workshop record | null | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Erik Waingarten | null | null | null | [
{
"kind": "website",
"citation": "Metric embeddings · Original question",
"url": "http://aimpl.org/metricembeddings/11/#0df1011a6fa8a3c46e2c977b7e5be609",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "http://aimpl.org/metri... | {
"source_record": "0df1011a6fa8a3c46e2c977b7e5be609",
"imported_at": "2026-09-10",
"status_as_of": "2026-09-10 source snapshot; not a current-status certification",
"evidence_label": "Workshop record · status unassessed",
"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-09T22:23:49.983Z",
"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:08.210Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"74227700-b90f-4a74-b1e1-b6fe8b72cf60","format_issues":null,"number":11229} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e5c1cc9 | problem | aim-0df1011a6fa8a3c46e2c977b7e5c1cc9 | Computing Spread Constants · Question 12.1 | {
"main": "math",
"sub": "analysis",
"slug": "analysis",
"name": "Analysis",
"original_discipline": "mathematics"
} | [] | [
{
"code": "46",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Metric embeddings. http://aimpl.org/metricembeddings/ Not an author-supplied MSC code."
}
] | Can the spread constant of an $n$-point metric space be approximated within a constant factor in $O(\text{poly } n)$ time? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Metric embeddings",
"type": "workshop-problem-list",
"url": "http://aimpl.org/metricembeddings/12/#0df1011a6fa8a3c46e2c977b7e5c1cc9",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Problem lists produced... | null | null | null | not-recorded | not-recorded | null | [] | [] | Metric embeddings · AIMPL workshop record | null | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Assaf Naor | null | null | null | [
{
"kind": "website",
"citation": "Metric embeddings · Original question",
"url": "http://aimpl.org/metricembeddings/12/#0df1011a6fa8a3c46e2c977b7e5c1cc9",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "http://aimpl.org/metri... | {
"source_record": "0df1011a6fa8a3c46e2c977b7e5c1cc9",
"imported_at": "2026-09-10",
"status_as_of": "2026-09-10 source snapshot; not a current-status certification",
"evidence_label": "Workshop record · status unassessed",
"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-09T22:23:49.983Z",
"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:08.215Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"3e01b04b-63d8-40c9-a478-c842fb13718c","format_issues":null,"number":11230} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e5c2dd1 | problem | aim-0df1011a6fa8a3c46e2c977b7e5c2dd1 | Finding Subsets of Vectors with Large Average Correlation · Question 13.1 | {
"main": "math",
"sub": "analysis",
"slug": "analysis",
"name": "Analysis",
"original_discipline": "mathematics"
} | [] | [
{
"code": "46",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Metric embeddings. http://aimpl.org/metricembeddings/ Not an author-supplied MSC code."
}
] | For $\varepsilon,\delta>0$ and unit vectors $v_1,v_2,\ldots,v_n\in \ell_2$, consider the following two properties:
- $\langle v_i, v_j\rangle \le 2\varepsilon$ whenever $i\neq j$, and
- for each $i$, there exists $A_i\subseteq \{1,2,\ldots,n\}$ such that $|A_i|\ge n^{1-\delta}$ and
$\langle v_i, v_j\rangle ... | unassessed | {
"key": "aimpl",
"name": "AIMPL · Metric embeddings",
"type": "workshop-problem-list",
"url": "http://aimpl.org/metricembeddings/13/#0df1011a6fa8a3c46e2c977b7e5c2dd1",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Problem lists produced... | null | null | null | not-recorded | not-recorded | null | [] | [] | Metric embeddings · AIMPL workshop record | null | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Alex Andoni | null | null | null | [
{
"kind": "website",
"citation": "Metric embeddings · Original question",
"url": "http://aimpl.org/metricembeddings/13/#0df1011a6fa8a3c46e2c977b7e5c2dd1",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "http://aimpl.org/metri... | {
"source_record": "0df1011a6fa8a3c46e2c977b7e5c2dd1",
"imported_at": "2026-09-10",
"status_as_of": "2026-09-10 source snapshot; not a current-status certification",
"evidence_label": "Workshop record · status unassessed",
"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-09T22:23:49.983Z",
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} | 2026-10-10T16:07:49.246Z | {"database_id":"7c9f2f06-15f6-4c25-97ac-a39a5982fe7d","format_issues":null,"number":11231} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e5c4b5e | problem | aim-0df1011a6fa8a3c46e2c977b7e5c4b5e | Partial Embeddings into Trees · Question 14.1 | {
"main": "math",
"sub": "analysis",
"slug": "analysis",
"name": "Analysis",
"original_discipline": "mathematics"
} | [] | [
{
"code": "46",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Metric embeddings. http://aimpl.org/metricembeddings/ Not an author-supplied MSC code."
}
] | Given an input metric space $M$ and distortion $c<\infty$, can we efficiently approximate the maximal number $m$ such that there exists a subset of $M$ of cardinality $m$ that embeds into trees with distortion at most $c$? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Metric embeddings",
"type": "workshop-problem-list",
"url": "http://aimpl.org/metricembeddings/14/#0df1011a6fa8a3c46e2c977b7e5c4b5e",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Problem lists produced... | null | null | null | not-recorded | not-recorded | null | [] | [] | Metric embeddings · AIMPL workshop record | null | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Kristin Sheridan | null | null | null | [
{
"kind": "website",
"citation": "Metric embeddings · Original question",
"url": "http://aimpl.org/metricembeddings/14/#0df1011a6fa8a3c46e2c977b7e5c4b5e",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "http://aimpl.org/metri... | {
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"created_at": "2026-09-09T22:23:49.983Z",
"updated_at": "2026-09-09T22:23:49.983Z",
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} | 2026-10-10T16:07:49.246Z | {"database_id":"4c95fce6-8693-458a-8ca8-8dd57d0933d9","format_issues":null,"number":11232} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e5d0fe4 | problem | aim-0df1011a6fa8a3c46e2c977b7e5d0fe4 | Computational and structural aspects of resolutions · Question 1.1 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "14",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Homological mirror symmetry and multigraded commutative algebra. http://aimpl.org/hmsandmga/ Not an author-supplied MSC code."
}
] | When do resolutions of toric subvarieties from the work of Hanlon-Hicks-Lazarev (and their minimizations) have nice properties? More specifically, when is the resolution of the torus fixed point projectively normal? When is the resolution of the diagonal symmetric? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Homological mirror symmetry and multigraded commutative algebra",
"type": "workshop-problem-list",
"url": "http://aimpl.org/hmsandmga/1/#0df1011a6fa8a3c46e2c977b7e5d0fe4",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list term... | null | null | null | not-recorded | not-recorded | null | [] | [] | Homological mirror symmetry and multigraded commutative algebra · AIMPL workshop record | null | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Daniel Erman | null | null | null | [
{
"kind": "website",
"citation": "Homological mirror symmetry and multigraded commutative algebra · Original question",
"url": "http://aimpl.org/hmsandmga/1/#0df1011a6fa8a3c46e2c977b7e5d0fe4",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliograph... | {
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"published_at": "2026-09-09T22:24:06.738Z",
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} | 2026-10-10T16:07:49.246Z | {"database_id":"f845b390-bc4b-42e8-9f85-548a6acefe8f","format_issues":null,"number":10975} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e5d3da0 | problem | aim-0df1011a6fa8a3c46e2c977b7e5d3da0 | Computational and structural aspects of resolutions · Question 1.2 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "14",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Homological mirror symmetry and multigraded commutative algebra. http://aimpl.org/hmsandmga/ Not an author-supplied MSC code."
}
] | Given a coherent sheaf $F$ on a toric variety $X$ (or a complex of sheaves), can we implement a code in M2 that computes its free monad in Bondal-Thompsen collection? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Homological mirror symmetry and multigraded commutative algebra",
"type": "workshop-problem-list",
"url": "http://aimpl.org/hmsandmga/1/#0df1011a6fa8a3c46e2c977b7e5d3da0",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list term... | null | null | null | not-recorded | not-recorded | null | [] | [] | Homological mirror symmetry and multigraded commutative algebra · AIMPL workshop record | null | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Michael Brown | null | null | null | [
{
"kind": "website",
"citation": "Homological mirror symmetry and multigraded commutative algebra · Original question",
"url": "http://aimpl.org/hmsandmga/1/#0df1011a6fa8a3c46e2c977b7e5d3da0",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliograph... | {
"source_record": "0df1011a6fa8a3c46e2c977b7e5d3da0",
"imported_at": "2026-09-10",
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"evidence_label": "Workshop record · status unassessed",
"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
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"published_at": "2026-09-09T22:24:06.744Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"454c3c5a-d6f9-48ea-b8b0-26d33d752990","format_issues":null,"number":10976} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e5d5066 | problem | aim-0df1011a6fa8a3c46e2c977b7e5d5066 | Computational and structural aspects of resolutions · Question 1.3 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "14",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Homological mirror symmetry and multigraded commutative algebra. http://aimpl.org/hmsandmga/ Not an author-supplied MSC code."
}
] | Can we implement algorithms in M2 to do computations over non-commutative algebras? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Homological mirror symmetry and multigraded commutative algebra",
"type": "workshop-problem-list",
"url": "http://aimpl.org/hmsandmga/1/#0df1011a6fa8a3c46e2c977b7e5d5066",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list term... | null | null | null | not-recorded | not-recorded | null | [] | [] | Homological mirror symmetry and multigraded commutative algebra · AIMPL workshop record | null | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Mykola Sapronov | null | null | null | [
{
"kind": "website",
"citation": "Homological mirror symmetry and multigraded commutative algebra · Original question",
"url": "http://aimpl.org/hmsandmga/1/#0df1011a6fa8a3c46e2c977b7e5d5066",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliograph... | {
"source_record": "0df1011a6fa8a3c46e2c977b7e5d5066",
"imported_at": "2026-09-10",
"status_as_of": "2026-09-10 source snapshot; not a current-status certification",
"evidence_label": "Workshop record · status unassessed",
"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
"current-status-unassessed",
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] | [] | {
"created_at": "2026-09-09T22:23:49.983Z",
"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:06.749Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"b1e3a1fe-4138-4974-81e1-0a0c4f9a1a67","format_issues":null,"number":10977} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e5d6789 | problem | aim-0df1011a6fa8a3c46e2c977b7e5d6789 | Computational and structural aspects of resolutions · Question 1.4 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "14",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Homological mirror symmetry and multigraded commutative algebra. http://aimpl.org/hmsandmga/ Not an author-supplied MSC code."
}
] | Can we give topological/combinatorial criteria for when the minimal resolution of a toric ideal is cellular? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Homological mirror symmetry and multigraded commutative algebra",
"type": "workshop-problem-list",
"url": "http://aimpl.org/hmsandmga/1/#0df1011a6fa8a3c46e2c977b7e5d6789",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list term... | null | null | null | not-recorded | not-recorded | null | [] | [] | Homological mirror symmetry and multigraded commutative algebra · AIMPL workshop record | ## Question context
The minimal resolution of normalizations of toric ideals need not be cellular. | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Jay Yang | null | null | null | [
{
"kind": "website",
"citation": "Homological mirror symmetry and multigraded commutative algebra · Original question",
"url": "http://aimpl.org/hmsandmga/1/#0df1011a6fa8a3c46e2c977b7e5d6789",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliograph... | {
"source_record": "0df1011a6fa8a3c46e2c977b7e5d6789",
"imported_at": "2026-09-10",
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"evidence_label": "Workshop record · status unassessed",
"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-09T22:23:49.983Z",
"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:06.755Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"68a96a22-4ba8-4bc6-8e4f-6b661e4d36b0","format_issues":null,"number":10978} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e5d8908 | problem | aim-0df1011a6fa8a3c46e2c977b7e5d8908 | Questions about Cox Category · Question 2.1 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "14",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Homological mirror symmetry and multigraded commutative algebra. http://aimpl.org/hmsandmga/ Not an author-supplied MSC code."
}
] | Can we describe and make sense of quantum cohomology of $D_{Cox}$? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Homological mirror symmetry and multigraded commutative algebra",
"type": "workshop-problem-list",
"url": "http://aimpl.org/hmsandmga/2/#0df1011a6fa8a3c46e2c977b7e5d8908",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list term... | null | null | null | not-recorded | not-recorded | null | [] | [] | Homological mirror symmetry and multigraded commutative algebra · AIMPL workshop record | null | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Matthew Ballard | null | null | null | [
{
"kind": "website",
"citation": "Homological mirror symmetry and multigraded commutative algebra · Original question",
"url": "http://aimpl.org/hmsandmga/2/#0df1011a6fa8a3c46e2c977b7e5d8908",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliograph... | {
"source_record": "0df1011a6fa8a3c46e2c977b7e5d8908",
"imported_at": "2026-09-10",
"status_as_of": "2026-09-10 source snapshot; not a current-status certification",
"evidence_label": "Workshop record · status unassessed",
"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-09T22:23:49.983Z",
"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:06.761Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"e70ffcbc-bca8-46e0-8d18-20893afb87e3","format_issues":null,"number":10979} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e5d9232 | problem | aim-0df1011a6fa8a3c46e2c977b7e5d9232 | Questions about Cox Category · Question 2.2 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "14",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Homological mirror symmetry and multigraded commutative algebra. http://aimpl.org/hmsandmga/ Not an author-supplied MSC code."
}
] | Can we understand geometrically the Serre functor of $D_{Cox}$? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Homological mirror symmetry and multigraded commutative algebra",
"type": "workshop-problem-list",
"url": "http://aimpl.org/hmsandmga/2/#0df1011a6fa8a3c46e2c977b7e5d9232",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list term... | null | null | null | not-recorded | not-recorded | null | [] | [] | Homological mirror symmetry and multigraded commutative algebra · AIMPL workshop record | null | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Michael Brown | null | null | null | [
{
"kind": "website",
"citation": "Homological mirror symmetry and multigraded commutative algebra · Original question",
"url": "http://aimpl.org/hmsandmga/2/#0df1011a6fa8a3c46e2c977b7e5d9232",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliograph... | {
"source_record": "0df1011a6fa8a3c46e2c977b7e5d9232",
"imported_at": "2026-09-10",
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"evidence_label": "Workshop record · status unassessed",
"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-09T22:23:49.983Z",
"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:06.766Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"c22eb77a-f116-4059-a3b9-f78b42a986a8","format_issues":null,"number":10980} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e5d9661 | problem | aim-0df1011a6fa8a3c46e2c977b7e5d9661 | Questions about Cox Category · Question 2.3 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "14",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Homological mirror symmetry and multigraded commutative algebra. http://aimpl.org/hmsandmga/ Not an author-supplied MSC code."
}
] | Is there a Landau-Ginzburg mirror to $D_{Cox}?$ | unassessed | {
"key": "aimpl",
"name": "AIMPL · Homological mirror symmetry and multigraded commutative algebra",
"type": "workshop-problem-list",
"url": "http://aimpl.org/hmsandmga/2/#0df1011a6fa8a3c46e2c977b7e5d9661",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list term... | null | null | null | not-recorded | not-recorded | null | [] | [] | Homological mirror symmetry and multigraded commutative algebra · AIMPL workshop record | null | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Andrew Hanlon | null | null | null | [
{
"kind": "website",
"citation": "Homological mirror symmetry and multigraded commutative algebra · Original question",
"url": "http://aimpl.org/hmsandmga/2/#0df1011a6fa8a3c46e2c977b7e5d9661",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliograph... | {
"source_record": "0df1011a6fa8a3c46e2c977b7e5d9661",
"imported_at": "2026-09-10",
"status_as_of": "2026-09-10 source snapshot; not a current-status certification",
"evidence_label": "Workshop record · status unassessed",
"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-09T22:23:49.983Z",
"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:06.772Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"fe993b78-d102-4f44-91d6-b05056cb7094","format_issues":null,"number":10981} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e5d982b | problem | aim-0df1011a6fa8a3c46e2c977b7e5d982b | Questions about Cox Category · Question 2.4 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "14",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Homological mirror symmetry and multigraded commutative algebra. http://aimpl.org/hmsandmga/ Not an author-supplied MSC code."
}
] | Is there a notion of Koszul duality for $D_{Cox}?$. | unassessed | {
"key": "aimpl",
"name": "AIMPL · Homological mirror symmetry and multigraded commutative algebra",
"type": "workshop-problem-list",
"url": "http://aimpl.org/hmsandmga/2/#0df1011a6fa8a3c46e2c977b7e5d982b",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list term... | null | null | null | not-recorded | not-recorded | null | [] | [] | Homological mirror symmetry and multigraded commutative algebra · AIMPL workshop record | null | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Mahrud Sayrafi | null | null | null | [
{
"kind": "website",
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}
] | Given a wall in the secondary fan, one can consider a sub-GIT problem with the corresponding $D_{Cox}$ category. Is there a functorial relationship between these $D_{Cox}$ categories? | unassessed | {
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"aim",
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] | Do there exist analogs of $D_{Cox}$ for other spaces? | unassessed | {
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1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e5db5f3 | problem | aim-0df1011a6fa8a3c46e2c977b7e5db5f3 | Implementation of computations from mirror symmetry in M2 · Question 3.1 | {
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} | [] | [
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] | Can we implement computations in M2 for toric stacks? | unassessed | {
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The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
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] | Juliette Bruce | null | null | null | [
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1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e5db7af | problem | aim-0df1011a6fa8a3c46e2c977b7e5db7af | Implementation of computations from mirror symmetry in M2 · Question 3.2 | {
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"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
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}
] | Can M2 encode and output the combinatorial description of certain Fukaya categories? | unassessed | {
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The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
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] | Daniel Erman | null | null | null | [
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1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e5dc3c6 | problem | aim-0df1011a6fa8a3c46e2c977b7e5dc3c6 | Implementation of computations from mirror symmetry in M2 · Question 3.3 | {
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] | Can M2 compute the exceptional collection constructed in the work of Favero, Ballard, Katzarkov? | unassessed | {
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The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Juliette Bruce | null | null | null | [
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1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e5dd292 | problem | aim-0df1011a6fa8a3c46e2c977b7e5dd292 | Implementation of computations from mirror symmetry in M2 · Question 3.4 | {
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"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
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}
] | Can we build functoriality in M2 to work with secondary fans? | unassessed | {
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The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Mahrud Sayrafi | null | null | null | [
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1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e5dd45d | problem | aim-0df1011a6fa8a3c46e2c977b7e5dd45d | Implementation of computations from mirror symmetry in M2 · Question 3.5 | {
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"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
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}
] | Can we implement symplectic/sheaf theoretic computations of linking disks/microstalks in M2? | unassessed | {
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"type": "workshop-problem-list",
"url": "http://aimpl.org/hmsandmga/3/#0df1011a6fa8a3c46e2c977b7e5dd45d",
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The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
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1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e5dedcc | problem | aim-0df1011a6fa8a3c46e2c977b7e5dedcc | Clarifying and Expanding Toric Mirror Symmetry · Question 4.1 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
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}
] | How do the choices of stop data in the cotangent bundle relate to the choices of the irrelevant ideal in the Cox ring? | unassessed | {
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"url": "http://aimpl.org/hmsandmga/4/#0df1011a6fa8a3c46e2c977b7e5dedcc",
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The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | John Cobb | null | null | null | [
{
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1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e5df340 | problem | aim-0df1011a6fa8a3c46e2c977b7e5df340 | Clarifying and Expanding Toric Mirror Symmetry · Question 4.2 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "14",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Homological mirror symmetry and multigraded commutative algebra. http://aimpl.org/hmsandmga/ Not an author-supplied MSC code."
}
] | Given a choice of a mirror skeleton, one can consider its canonical probe generators. What is the geometric meaning of the mutated collection of these generators? Can we find another skeleton for the same symplectic manifold, whose canonical generators are the mutated collection? | unassessed | {
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"license": "Editorially moderated; per-list term... | null | null | null | not-recorded | not-recorded | null | [] | [] | Homological mirror symmetry and multigraded commutative algebra · AIMPL workshop record | null | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Jeff Hicks | null | null | null | [
{
"kind": "website",
"citation": "Homological mirror symmetry and multigraded commutative algebra · Original question",
"url": "http://aimpl.org/hmsandmga/4/#0df1011a6fa8a3c46e2c977b7e5df340",
"note": null,
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},
{
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"evidence_label": "Workshop record · status unassessed",
"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-09T22:23:49.983Z",
"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:06.829Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"657a737c-b40c-4348-898b-ab82b868542e","format_issues":null,"number":10991} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e5e01af | problem | aim-0df1011a6fa8a3c46e2c977b7e5e01af | Clarifying and Expanding Toric Mirror Symmetry · Question 4.3 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "14",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Homological mirror symmetry and multigraded commutative algebra. http://aimpl.org/hmsandmga/ Not an author-supplied MSC code."
}
] | Does Morelli's algebro-geometric cobordism in the context of weak factorizations have a mirror interpretation? What about elementary cobordism? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Homological mirror symmetry and multigraded commutative algebra",
"type": "workshop-problem-list",
"url": "http://aimpl.org/hmsandmga/4/#0df1011a6fa8a3c46e2c977b7e5e01af",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list term... | null | null | null | not-recorded | not-recorded | null | [] | [] | Homological mirror symmetry and multigraded commutative algebra · AIMPL workshop record | null | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | David Favero | null | null | null | [
{
"kind": "website",
"citation": "Homological mirror symmetry and multigraded commutative algebra · Original question",
"url": "http://aimpl.org/hmsandmga/4/#0df1011a6fa8a3c46e2c977b7e5e01af",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliograph... | {
"source_record": "0df1011a6fa8a3c46e2c977b7e5e01af",
"imported_at": "2026-09-10",
"status_as_of": "2026-09-10 source snapshot; not a current-status certification",
"evidence_label": "Workshop record · status unassessed",
"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-09T22:23:49.983Z",
"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:06.836Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"f9a622db-eae8-4b42-a27c-88063f68f797","format_issues":null,"number":10992} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e5e15a0 | problem | aim-0df1011a6fa8a3c46e2c977b7e5e15a0 | Clarifying and Expanding Toric Mirror Symmetry · Question 4.4 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "14",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Homological mirror symmetry and multigraded commutative algebra. http://aimpl.org/hmsandmga/ Not an author-supplied MSC code."
}
] | What is the algebro-geometric "mirror" to Pontryagin classes of Lagrangians in $(T^{*}\mathbb{T}^n)$? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Homological mirror symmetry and multigraded commutative algebra",
"type": "workshop-problem-list",
"url": "http://aimpl.org/hmsandmga/4/#0df1011a6fa8a3c46e2c977b7e5e15a0",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list term... | null | null | null | not-recorded | not-recorded | null | [] | [] | Homological mirror symmetry and multigraded commutative algebra · AIMPL workshop record | null | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Maxim Jeffs | null | null | null | [
{
"kind": "website",
"citation": "Homological mirror symmetry and multigraded commutative algebra · Original question",
"url": "http://aimpl.org/hmsandmga/4/#0df1011a6fa8a3c46e2c977b7e5e15a0",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliograph... | {
"source_record": "0df1011a6fa8a3c46e2c977b7e5e15a0",
"imported_at": "2026-09-10",
"status_as_of": "2026-09-10 source snapshot; not a current-status certification",
"evidence_label": "Workshop record · status unassessed",
"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-09T22:23:49.983Z",
"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:06.841Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"633445f2-c25d-49c8-ba00-c34b2d2dc349","format_issues":null,"number":10993} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e5e284e | problem | aim-0df1011a6fa8a3c46e2c977b7e5e284e | Clarifying and Expanding Toric Mirror Symmetry · Question 4.5 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "14",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Homological mirror symmetry and multigraded commutative algebra. http://aimpl.org/hmsandmga/ Not an author-supplied MSC code."
}
] | Are there quiver-theoretic descriptions of certain moduli of sheaves (e.g $Hilb_{n}$ on toric varieties) via resolutions by the Bondal-Thompsen collection? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Homological mirror symmetry and multigraded commutative algebra",
"type": "workshop-problem-list",
"url": "http://aimpl.org/hmsandmga/4/#0df1011a6fa8a3c46e2c977b7e5e284e",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list term... | null | null | null | not-recorded | not-recorded | null | [] | [] | Homological mirror symmetry and multigraded commutative algebra · AIMPL workshop record | null | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Reginald Andrerson | null | null | null | [
{
"kind": "website",
"citation": "Homological mirror symmetry and multigraded commutative algebra · Original question",
"url": "http://aimpl.org/hmsandmga/4/#0df1011a6fa8a3c46e2c977b7e5e284e",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliograph... | {
"source_record": "0df1011a6fa8a3c46e2c977b7e5e284e",
"imported_at": "2026-09-10",
"status_as_of": "2026-09-10 source snapshot; not a current-status certification",
"evidence_label": "Workshop record · status unassessed",
"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-09T22:23:49.983Z",
"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:06.846Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"a086b83a-ba53-4632-b4ad-28d93d7d3233","format_issues":null,"number":10994} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e5e2b1c | problem | aim-0df1011a6fa8a3c46e2c977b7e5e2b1c | Clarifying and Expanding Toric Mirror Symmetry · Question 4.6 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "14",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Homological mirror symmetry and multigraded commutative algebra. http://aimpl.org/hmsandmga/ Not an author-supplied MSC code."
}
] | Is Bondal-Thompsen collection related to Bridgeland stability conditions? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Homological mirror symmetry and multigraded commutative algebra",
"type": "workshop-problem-list",
"url": "http://aimpl.org/hmsandmga/4/#0df1011a6fa8a3c46e2c977b7e5e2b1c",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list term... | null | null | null | not-recorded | not-recorded | null | [] | [] | Homological mirror symmetry and multigraded commutative algebra · AIMPL workshop record | null | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Reginal Anderson | null | null | null | [
{
"kind": "website",
"citation": "Homological mirror symmetry and multigraded commutative algebra · Original question",
"url": "http://aimpl.org/hmsandmga/4/#0df1011a6fa8a3c46e2c977b7e5e2b1c",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliograph... | {
"source_record": "0df1011a6fa8a3c46e2c977b7e5e2b1c",
"imported_at": "2026-09-10",
"status_as_of": "2026-09-10 source snapshot; not a current-status certification",
"evidence_label": "Workshop record · status unassessed",
"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-09T22:23:49.983Z",
"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:06.851Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"83807cf1-3860-497e-86b0-6d435d6f3564","format_issues":null,"number":10995} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e5e8f32 | problem | aim-0df1011a6fa8a3c46e2c977b7e5e8f32 | Wall-crossing for Calabi-Yau varieties · Question 1.1 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "14",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Algebraic geometry. http://aimpl.org/wallcrossing/ Not an author-supplied MSC code."
}
] | Exploit wall-crossing techniques to prove the DT/PT correspondence for Calabi-Yau 3-folds with tautological insertions. | unassessed | {
"key": "aimpl",
"name": "AIMPL · Wall-crossing: techniques and applications",
"type": "workshop-problem-list",
"url": "http://aimpl.org/wallcrossing/1/#0df1011a6fa8a3c46e2c977b7e5e8f32",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Wall-crossing: techniques and applications · AIMPL workshop record | null | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Wall-crossing: techniques and applications · Original question",
"url": "http://aimpl.org/wallcrossing/1/#0df1011a6fa8a3c46e2c977b7e5e8f32",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "ht... | {
"source_record": "0df1011a6fa8a3c46e2c977b7e5e8f32",
"imported_at": "2026-09-10",
"status_as_of": "2026-09-10 source snapshot; not a current-status certification",
"evidence_label": "Workshop record · status unassessed",
"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-09T22:23:49.983Z",
"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:11.273Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"ddc2a0b5-fc16-42fe-b674-49fb79572e01","format_issues":null,"number":11751} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e5e9b52 | problem | aim-0df1011a6fa8a3c46e2c977b7e5e9b52 | Wall-crossing for Calabi-Yau varieties · Question 1.2 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "14",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Algebraic geometry. http://aimpl.org/wallcrossing/ Not an author-supplied MSC code."
}
] | Exploit wall-crossing to prove the rationality and symmetry of the PT invariants for Calabi-Yau 3-folds. | unassessed | {
"key": "aimpl",
"name": "AIMPL · Wall-crossing: techniques and applications",
"type": "workshop-problem-list",
"url": "http://aimpl.org/wallcrossing/1/#0df1011a6fa8a3c46e2c977b7e5e9b52",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Wall-crossing: techniques and applications · AIMPL workshop record | null | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Wall-crossing: techniques and applications · Original question",
"url": "http://aimpl.org/wallcrossing/1/#0df1011a6fa8a3c46e2c977b7e5e9b52",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "ht... | {
"source_record": "0df1011a6fa8a3c46e2c977b7e5e9b52",
"imported_at": "2026-09-10",
"status_as_of": "2026-09-10 source snapshot; not a current-status certification",
"evidence_label": "Workshop record · status unassessed",
"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-09T22:23:49.983Z",
"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:11.278Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"686d7c9f-c57d-4221-a7fa-655925169781","format_issues":null,"number":11752} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e5ea55d | problem | aim-0df1011a6fa8a3c46e2c977b7e5ea55d | Wall-crossing for Calabi-Yau varieties · Question 1.3 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "14",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Algebraic geometry. http://aimpl.org/wallcrossing/ Not an author-supplied MSC code."
}
] | Let $X$ be a Fano 3-fold, and $K_X$ a local Calabi-Yau 4-fold, obtained as the canonical bundle of $X$. Prove DT/PT type correspondences on $X$ via wall-crossing for the Calabi-Yau 4-fold $K_X$. | unassessed | {
"key": "aimpl",
"name": "AIMPL · Wall-crossing: techniques and applications",
"type": "workshop-problem-list",
"url": "http://aimpl.org/wallcrossing/1/#0df1011a6fa8a3c46e2c977b7e5ea55d",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Wall-crossing: techniques and applications · AIMPL workshop record | null | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Wall-crossing: techniques and applications · Original question",
"url": "http://aimpl.org/wallcrossing/1/#0df1011a6fa8a3c46e2c977b7e5ea55d",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "ht... | {
"source_record": "0df1011a6fa8a3c46e2c977b7e5ea55d",
"imported_at": "2026-09-10",
"status_as_of": "2026-09-10 source snapshot; not a current-status certification",
"evidence_label": "Workshop record · status unassessed",
"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-09T22:23:49.983Z",
"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:11.283Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"06edaded-ab5f-48b4-8e05-7b3b5427cbf8","format_issues":null,"number":11753} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e5eae5d | problem | aim-0df1011a6fa8a3c46e2c977b7e5eae5d | Wall-crossing for Calabi-Yau varieties · Question 1.4 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "14",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Algebraic geometry. http://aimpl.org/wallcrossing/ Not an author-supplied MSC code."
}
] | Let $X$ be a Fano 3-fold, and $p:Y\to X$ an elliptically fibered Calabi-Yau 4-fold. Compute invariants, or prove correspondences on $X$ by performing wall-crossing on $Y$, with respect to classes on $Y$ pulled back from $p$. | unassessed | {
"key": "aimpl",
"name": "AIMPL · Wall-crossing: techniques and applications",
"type": "workshop-problem-list",
"url": "http://aimpl.org/wallcrossing/1/#0df1011a6fa8a3c46e2c977b7e5eae5d",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Wall-crossing: techniques and applications · AIMPL workshop record | null | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Wall-crossing: techniques and applications · Original question",
"url": "http://aimpl.org/wallcrossing/1/#0df1011a6fa8a3c46e2c977b7e5eae5d",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "ht... | {
"source_record": "0df1011a6fa8a3c46e2c977b7e5eae5d",
"imported_at": "2026-09-10",
"status_as_of": "2026-09-10 source snapshot; not a current-status certification",
"evidence_label": "Workshop record · status unassessed",
"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-09T22:23:49.983Z",
"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:11.289Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"185287aa-e176-4ac9-8cd0-cf6e0a02eae0","format_issues":null,"number":11754} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e5ec075 | problem | aim-0df1011a6fa8a3c46e2c977b7e5ec075 | Rank-reduction wall-crossing · Question 2.1 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "14",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Algebraic geometry. http://aimpl.org/wallcrossing/ Not an author-supplied MSC code."
}
] | Let $S$ be a surface of general type. Express rank $r$ Vafa-Witten invariants on $S$ in terms of rank 1 Vafa-Witten invariants of $S$ via wall-crossing. | unassessed | {
"key": "aimpl",
"name": "AIMPL · Wall-crossing: techniques and applications",
"type": "workshop-problem-list",
"url": "http://aimpl.org/wallcrossing/2/#0df1011a6fa8a3c46e2c977b7e5ec075",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Wall-crossing: techniques and applications · AIMPL workshop record | null | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Wall-crossing: techniques and applications · Original question",
"url": "http://aimpl.org/wallcrossing/2/#0df1011a6fa8a3c46e2c977b7e5ec075",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "ht... | {
"source_record": "0df1011a6fa8a3c46e2c977b7e5ec075",
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"evidence_label": "Workshop record · status unassessed",
"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
"current-status-unassessed",
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] | [] | {
"created_at": "2026-09-09T22:23:49.983Z",
"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:11.300Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"a4c68f86-c7fb-418a-ab09-adbd774d0473","format_issues":null,"number":11756} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e5ec1e5 | problem | aim-0df1011a6fa8a3c46e2c977b7e5ec1e5 | Rank-reduction wall-crossing · Question 2.2 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "14",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Algebraic geometry. http://aimpl.org/wallcrossing/ Not an author-supplied MSC code."
}
] | Let $S$ be a surface of general type. Use wall-crossing to find an explicit (possibly conjectural) formula for rank $r=4$ Vafa-Witten invariants of $S$. | unassessed | {
"key": "aimpl",
"name": "AIMPL · Wall-crossing: techniques and applications",
"type": "workshop-problem-list",
"url": "http://aimpl.org/wallcrossing/2/#0df1011a6fa8a3c46e2c977b7e5ec1e5",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Wall-crossing: techniques and applications · AIMPL workshop record | null | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Wall-crossing: techniques and applications · Original question",
"url": "http://aimpl.org/wallcrossing/2/#0df1011a6fa8a3c46e2c977b7e5ec1e5",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "ht... | {
"source_record": "0df1011a6fa8a3c46e2c977b7e5ec1e5",
"imported_at": "2026-09-10",
"status_as_of": "2026-09-10 source snapshot; not a current-status certification",
"evidence_label": "Workshop record · status unassessed",
"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-09T22:23:49.983Z",
"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:11.308Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"fe3bac16-523e-470c-a94d-acbe78ca4753","format_issues":null,"number":11757} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e5ec7f5 | problem | aim-0df1011a6fa8a3c46e2c977b7e5ec7f5 | Wall-crossing for Calabi-Yau varieties · Question 1.5 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "14",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Algebraic geometry. http://aimpl.org/wallcrossing/ Not an author-supplied MSC code."
}
] | Let $X$ be a Calabi-Yau 4-fold. Use wall-crossing to formulate new (conjectural) relations on DT and PT type invariants on $X$, extending the known (conjectural) DT/PT correspondences of Bae-Kool-Park. | unassessed | {
"key": "aimpl",
"name": "AIMPL · Wall-crossing: techniques and applications",
"type": "workshop-problem-list",
"url": "http://aimpl.org/wallcrossing/1/#0df1011a6fa8a3c46e2c977b7e5ec7f5",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Wall-crossing: techniques and applications · AIMPL workshop record | null | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Wall-crossing: techniques and applications · Original question",
"url": "http://aimpl.org/wallcrossing/1/#0df1011a6fa8a3c46e2c977b7e5ec7f5",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "ht... | {
"source_record": "0df1011a6fa8a3c46e2c977b7e5ec7f5",
"imported_at": "2026-09-10",
"status_as_of": "2026-09-10 source snapshot; not a current-status certification",
"evidence_label": "Workshop record · status unassessed",
"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-09T22:23:49.983Z",
"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:11.294Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"45f50690-a206-4f05-9c4c-a740e8b8e417","format_issues":null,"number":11755} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e5eee41 | problem | aim-0df1011a6fa8a3c46e2c977b7e5eee41 | Wall-crossing in other settings · Question 3.1 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "14",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Algebraic geometry. http://aimpl.org/wallcrossing/ Not an author-supplied MSC code."
}
] | Can we extend Joyce’s wallcrossing techniques to non-linear settings? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Wall-crossing: techniques and applications",
"type": "workshop-problem-list",
"url": "http://aimpl.org/wallcrossing/3/#0df1011a6fa8a3c46e2c977b7e5eee41",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Wall-crossing: techniques and applications · AIMPL workshop record | null | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Wall-crossing: techniques and applications · Original question",
"url": "http://aimpl.org/wallcrossing/3/#0df1011a6fa8a3c46e2c977b7e5eee41",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "ht... | {
"source_record": "0df1011a6fa8a3c46e2c977b7e5eee41",
"imported_at": "2026-09-10",
"status_as_of": "2026-09-10 source snapshot; not a current-status certification",
"evidence_label": "Workshop record · status unassessed",
"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-09T22:23:49.983Z",
"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:11.319Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"7972d349-0e7e-42a3-a135-d225c8712707","format_issues":null,"number":11759} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e5ef325 | problem | aim-0df1011a6fa8a3c46e2c977b7e5ef325 | Wall-crossing in other settings · Question 3.2 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "14",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Algebraic geometry. http://aimpl.org/wallcrossing/ Not an author-supplied MSC code."
}
] | Properly formulate wall-crossing formulas for triangulated categories. | unassessed | {
"key": "aimpl",
"name": "AIMPL · Wall-crossing: techniques and applications",
"type": "workshop-problem-list",
"url": "http://aimpl.org/wallcrossing/3/#0df1011a6fa8a3c46e2c977b7e5ef325",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Wall-crossing: techniques and applications · AIMPL workshop record | null | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Wall-crossing: techniques and applications · Original question",
"url": "http://aimpl.org/wallcrossing/3/#0df1011a6fa8a3c46e2c977b7e5ef325",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "ht... | {
"source_record": "0df1011a6fa8a3c46e2c977b7e5ef325",
"imported_at": "2026-09-10",
"status_as_of": "2026-09-10 source snapshot; not a current-status certification",
"evidence_label": "Workshop record · status unassessed",
"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-09T22:23:49.983Z",
"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:11.324Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"3763dbea-2602-48dd-bce4-5cd150dc0b7d","format_issues":null,"number":11760} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e5ef73e | problem | aim-0df1011a6fa8a3c46e2c977b7e5ef73e | Extensions to orbifolds · Question 4.1 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "14",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Algebraic geometry. http://aimpl.org/wallcrossing/ Not an author-supplied MSC code."
}
] | Extend wall-crossing to moduli spaces of sheaves on Calabi-Yau orbifolds. | unassessed | {
"key": "aimpl",
"name": "AIMPL · Wall-crossing: techniques and applications",
"type": "workshop-problem-list",
"url": "http://aimpl.org/wallcrossing/4/#0df1011a6fa8a3c46e2c977b7e5ef73e",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Wall-crossing: techniques and applications · AIMPL workshop record | null | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Wall-crossing: techniques and applications · Original question",
"url": "http://aimpl.org/wallcrossing/4/#0df1011a6fa8a3c46e2c977b7e5ef73e",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "ht... | {
"source_record": "0df1011a6fa8a3c46e2c977b7e5ef73e",
"imported_at": "2026-09-10",
"status_as_of": "2026-09-10 source snapshot; not a current-status certification",
"evidence_label": "Workshop record · status unassessed",
"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-09T22:23:49.983Z",
"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:11.329Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"49e0d376-2ace-4231-9bc4-d7d3dcb294dc","format_issues":null,"number":11761} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e5f04cc | problem | aim-0df1011a6fa8a3c46e2c977b7e5f04cc | Extensions to orbifolds · Question 4.2 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "14",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Algebraic geometry. http://aimpl.org/wallcrossing/ Not an author-supplied MSC code."
}
] | Find some formulation of Virasoro constraints for moduli spaces of sheaves on orbifolds, and prove them using wall-crossing techniques as in Bojko-Lim-Moreira. | unassessed | {
"key": "aimpl",
"name": "AIMPL · Wall-crossing: techniques and applications",
"type": "workshop-problem-list",
"url": "http://aimpl.org/wallcrossing/4/#0df1011a6fa8a3c46e2c977b7e5f04cc",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Wall-crossing: techniques and applications · AIMPL workshop record | null | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Wall-crossing: techniques and applications · Original question",
"url": "http://aimpl.org/wallcrossing/4/#0df1011a6fa8a3c46e2c977b7e5f04cc",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "ht... | {
"source_record": "0df1011a6fa8a3c46e2c977b7e5f04cc",
"imported_at": "2026-09-10",
"status_as_of": "2026-09-10 source snapshot; not a current-status certification",
"evidence_label": "Workshop record · status unassessed",
"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-09T22:23:49.983Z",
"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:11.335Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"44205768-1693-4bbd-b527-a9543e1dbaa0","format_issues":null,"number":11762} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e5f0824 | problem | aim-0df1011a6fa8a3c46e2c977b7e5f0824 | Rank-reduction wall-crossing · Question 2.3 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "14",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Algebraic geometry. http://aimpl.org/wallcrossing/ Not an author-supplied MSC code."
}
] | Extend the rank reduction techniques of Feyzbakhsh-Thomas to include refined invariants (e.g. motivic invariants). | unassessed | {
"key": "aimpl",
"name": "AIMPL · Wall-crossing: techniques and applications",
"type": "workshop-problem-list",
"url": "http://aimpl.org/wallcrossing/2/#0df1011a6fa8a3c46e2c977b7e5f0824",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Wall-crossing: techniques and applications · AIMPL workshop record | null | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Wall-crossing: techniques and applications · Original question",
"url": "http://aimpl.org/wallcrossing/2/#0df1011a6fa8a3c46e2c977b7e5f0824",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "ht... | {
"source_record": "0df1011a6fa8a3c46e2c977b7e5f0824",
"imported_at": "2026-09-10",
"status_as_of": "2026-09-10 source snapshot; not a current-status certification",
"evidence_label": "Workshop record · status unassessed",
"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-09T22:23:49.983Z",
"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:11.313Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"2d333b91-5220-45ff-bb47-800656b09fd5","format_issues":null,"number":11758} |
1.0.0 | problem:aim-0df1011a6fa8a3c46e2c977b7e6e6c84 | problem | aim-0df1011a6fa8a3c46e2c977b7e6e6c84 | Transportation Cost and Wasserstein Spaces · Question 6.4 | {
"main": "math",
"sub": "analysis",
"slug": "analysis",
"name": "Analysis",
"original_discipline": "mathematics"
} | [] | [
{
"code": "46",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Metric embeddings. http://aimpl.org/metricembeddings/ Not an author-supplied MSC code."
}
] | Let $\{1,\dots n\}^d$ denote the $d$-dimensional grid graph of side length $n-1$. What are the asymptotics of $c_1({\rm TC}(\{1,\dots n\}^d))$ for $d \geq 2$? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Metric embeddings",
"type": "workshop-problem-list",
"url": "http://aimpl.org/metricembeddings/6/#0df1011a6fa8a3c46e2c977b7e6e6c84",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Problem lists produced ... | null | null | null | not-recorded | not-recorded | null | [] | [] | Metric embeddings · AIMPL workshop record | null | Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.
The source supplies no separate status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Assaf Naor | null | null | null | [
{
"kind": "website",
"citation": "Metric embeddings · Original question",
"url": "http://aimpl.org/metricembeddings/6/#0df1011a6fa8a3c46e2c977b7e6e6c84",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "http://aimpl.org/metric... | {
"source_record": "0df1011a6fa8a3c46e2c977b7e6e6c84",
"imported_at": "2026-09-10",
"status_as_of": "2026-09-10 source snapshot; not a current-status certification",
"evidence_label": "Workshop record · status unassessed",
"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-09T22:23:49.983Z",
"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:08.169Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"07307397-f184-464c-a282-8493b77b3d20","format_issues":null,"number":11222} |
1.0.0 | problem:aim-30af364e265727bf114bfe5bea005be4 | problem | aim-30af364e265727bf114bfe5bea005be4 | Log Concavity · Question 2 | {
"main": "math",
"sub": "analysis",
"slug": "analysis",
"name": "Analysis",
"original_discipline": "mathematics"
} | [] | [] | \label{fidk_conj}
If $p\in\mathcal{L}\text{-}\mathcal{P}^+$, then
$$
\sum_{k=0}^n \left|\begin{array}{ccc}
a_k & a_{k+1} & a_{k+2} \\
a_{k-1} & a_k & a_{k+1}\\
a_{k-2} & a_{k-1} & a_k\end{array}\right|x^k\in\mathcal{L}\text{-}\mathcal{P}^+.
$$ | unassessed | {
"key": "aimpl",
"name": "AIM · Stability, hyperbolicity, and zero localization of functions",
"type": "workshop-problem-list",
"url": "http://aimpl.org/hyperbolicpoly/3/#30af364e265727bf114bfe5bea005be4",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list term... | null | null | null | not-recorded | not-recorded | null | [] | [] | Stability, hyperbolicity, and zero localization of functions · Historical workshop question | ## Workshop introduction
A list of the problems from the workshop on stability, hyperbolicity, and zero localization of functions, held December 5-9, 2011, is presented below. The problems have been loosely categorized for convenience, although many of the problems could be listed under several different headings.
#... | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Fisk | null | null | null | [
{
"kind": "website",
"citation": "Stability, hyperbolicity, and zero localization of functions",
"url": "http://aimpl.org/hyperbolicpoly/3/",
"note": null,
"sort_order": 0
}
] | {
"source_record": "30af364e265727bf114bfe5bea005be4",
"imported_at": "2026-09-08",
"status_as_of": "2026-09-08",
"evidence_label": "Historical list · status unassessed",
"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:16.198Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"b2548bf6-6d10-4238-ab3c-b86720813655","format_issues":null,"number":8761} |
1.0.0 | problem:aim-30af364e265727bf114bfe5bea129c28 | problem | aim-30af364e265727bf114bfe5bea129c28 | Ultrapowers · Question 1 | {
"main": "math",
"sub": "analysis",
"slug": "analysis",
"name": "Analysis",
"original_discipline": "mathematics"
} | [] | [
{
"code": "46",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Functional analysis. http://aimpl.org/settheorycstar/ Not an author-supplied MSC code."
}
] | Does every separable C*-algebra embed into an ultrapower of
$\mathcal O_2$ with respect to an ultrafilter on $\mathbb N$? | unassessed | {
"key": "aimpl",
"name": "AIM · Set theory and C-algebras",
"type": "workshop-problem-list",
"url": "http://aimpl.org/settheorycstar/1/#30af364e265727bf114bfe5bea129c28",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Problem lists produ... | null | null | null | not-recorded | not-recorded | null | [] | [] | Set theory and C-algebras · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Set theory and C-algebras",
"url": "http://aimpl.org/settheorycstar/1/",
"note": null,
"sort_order": 0
}
] | {
"source_record": "30af364e265727bf114bfe5bea129c28",
"imported_at": "2026-09-08",
"status_as_of": "2026-09-08",
"evidence_label": "Historical list · status unassessed",
"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:08.372Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"e0f6123d-eaeb-46ae-93b3-bda7c874809f","format_issues":null,"number":7158} |
1.0.0 | problem:aim-30af364e265727bf114bfe5bea12d5aa | problem | aim-30af364e265727bf114bfe5bea12d5aa | Calkin algebra · Question 1 | {
"main": "math",
"sub": "analysis",
"slug": "analysis",
"name": "Analysis",
"original_discipline": "mathematics"
} | [] | [
{
"code": "46",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Functional analysis. http://aimpl.org/settheorycstar/ Not an author-supplied MSC code."
}
] | Is there a model of set theory in which the Calkin algebra has an
automorphism sending the unilateral shift $S$ to $S^{\ast }$? Is the
analogous fact for $\ell ^{\infty }\left/ c_{0}\right. $ true? | unassessed | {
"key": "aimpl",
"name": "AIM · Set theory and C-algebras",
"type": "workshop-problem-list",
"url": "http://aimpl.org/settheorycstar/2/#30af364e265727bf114bfe5bea12d5aa",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Problem lists produ... | null | null | null | not-recorded | not-recorded | null | [] | [] | Set theory and C-algebras · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Set theory and C-algebras",
"url": "http://aimpl.org/settheorycstar/2/",
"note": null,
"sort_order": 0
}
] | {
"source_record": "30af364e265727bf114bfe5bea12d5aa",
"imported_at": "2026-09-08",
"status_as_of": "2026-09-08",
"evidence_label": "Historical list · status unassessed",
"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:08.390Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"bb0afea0-7199-42fa-96ef-550fe8d969f7","format_issues":null,"number":7162} |
1.0.0 | problem:aim-30af364e265727bf114bfe5bea12db3f | problem | aim-30af364e265727bf114bfe5bea12db3f | Calkin algebra · Question 2 | {
"main": "math",
"sub": "analysis",
"slug": "analysis",
"name": "Analysis",
"original_discipline": "mathematics"
} | [] | [
{
"code": "46",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Functional analysis. http://aimpl.org/settheorycstar/ Not an author-supplied MSC code."
}
] | Is there a model of set theory in which the Calkin algebra has a not
approximately inner automorphism preserving K-theory? | unassessed | {
"key": "aimpl",
"name": "AIM · Set theory and C-algebras",
"type": "workshop-problem-list",
"url": "http://aimpl.org/settheorycstar/2/#30af364e265727bf114bfe5bea12db3f",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Problem lists produ... | null | null | null | not-recorded | not-recorded | null | [] | [] | Set theory and C-algebras · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Set theory and C-algebras",
"url": "http://aimpl.org/settheorycstar/2/",
"note": null,
"sort_order": 0
}
] | {
"source_record": "30af364e265727bf114bfe5bea12db3f",
"imported_at": "2026-09-08",
"status_as_of": "2026-09-08",
"evidence_label": "Historical list · status unassessed",
"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:08.395Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"e173cef0-1ba0-480d-8800-535e6819bbe5","format_issues":null,"number":7163} |
1.0.0 | problem:aim-30af364e265727bf114bfe5bea12e877 | problem | aim-30af364e265727bf114bfe5bea12e877 | Tensor products · Question 1 | {
"main": "math",
"sub": "analysis",
"slug": "analysis",
"name": "Analysis",
"original_discipline": "mathematics"
} | [] | [
{
"code": "46",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Functional analysis. http://aimpl.org/settheorycstar/ Not an author-supplied MSC code."
}
] | Does the number of C*-norms on $A\otimes _{alg}B$ for
- $A=B=\mathcal{B}\left( H\right) $
- $A=B=C^{\ast }\left( \mathbb{F}_{\infty }\right) $, where $\mathbb{F}%
_{\infty }$ is the free group on countably many generators
- $A=B\left( H\right) $ and $B=\mathcal{Q}\left( H\right) $ where $%
\mathcal{Q}\left( ... | unassessed | {
"key": "aimpl",
"name": "AIM · Set theory and C-algebras",
"type": "workshop-problem-list",
"url": "http://aimpl.org/settheorycstar/3/#30af364e265727bf114bfe5bea12e877",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Problem lists produ... | null | null | null | not-recorded | not-recorded | null | [] | [] | Set theory and C-algebras · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Set theory and C-algebras",
"url": "http://aimpl.org/settheorycstar/3/",
"note": null,
"sort_order": 0
}
] | {
"source_record": "30af364e265727bf114bfe5bea12e877",
"imported_at": "2026-09-08",
"status_as_of": "2026-09-08",
"evidence_label": "Historical list · status unassessed",
"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:08.408Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"360bcd72-d720-4a90-96c9-4e7a306c479e","format_issues":null,"number":7166} |
1.0.0 | problem:aim-30af364e265727bf114bfe5bea12f6f3 | problem | aim-30af364e265727bf114bfe5bea12f6f3 | Nonseparable C-algebras · Question 1 | {
"main": "math",
"sub": "analysis",
"slug": "analysis",
"name": "Analysis",
"original_discipline": "mathematics"
} | [] | [
{
"code": "46",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Functional analysis. http://aimpl.org/settheorycstar/ Not an author-supplied MSC code."
}
] | Is there a nonseparable AF C*-algebra or W*-algebra not isomorphic to
its opposite algebra? | unassessed | {
"key": "aimpl",
"name": "AIM · Set theory and C-algebras",
"type": "workshop-problem-list",
"url": "http://aimpl.org/settheorycstar/6/#30af364e265727bf114bfe5bea12f6f3",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Problem lists produ... | null | null | null | not-recorded | not-recorded | null | [] | [] | Set theory and C-algebras · Historical workshop question | null | Historical workshop record. Current open/solved status has not been independently reassessed.
The source supplies no status note for this question. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Set theory and C-algebras",
"url": "http://aimpl.org/settheorycstar/6/",
"note": null,
"sort_order": 0
}
] | {
"source_record": "30af364e265727bf114bfe5bea12f6f3",
"imported_at": "2026-09-08",
"status_as_of": "2026-09-08",
"evidence_label": "Historical list · status unassessed",
"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
"current-status-unassessed",
"source-full-text-not-present"
] | [] | {
"created_at": "2026-09-08T03:32:15.935Z",
"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:08.446Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"c82e4051-dd81-440d-accb-e38ef1b3a959","format_issues":null,"number":7175} |
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