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1.0.0 | problem:aim-38756a1f9b537f4591526253cd151d65 | problem | aim-38756a1f9b537f4591526253cd151d65 | Hyperfiniteness and related notions · Question 6.5 | {
"main": "math",
"sub": "logic and foundations",
"slug": "logic-and-foundations",
"name": "Logic and foundations",
"original_discipline": "mathematics"
} | [] | [
{
"code": "03",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Logic. http://aimpl.org/descriptgraph/ Not an author-supplied MSC code."
}
] | Is an increasing countable union of hyperfinite CBERs hyperfinite? What if we add some restrictions, e.g. involving Borel asymptotic dimension? | unassessed | {
"key": "aimpl",
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"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 | [] | [] | Descriptive graph theory · AIMPL workshop record | ## Section context
Let $X$ be a Polish space. | 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": "Descriptive graph theory · Original question",
"url": "http://aimpl.org/descriptgraph/6/#38756a1f9b537f4591526253cd151d65",
"note": null,
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{
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1.0.0 | problem:aim-38756a1f9b537f4591526253cd152982 | problem | aim-38756a1f9b537f4591526253cd152982 | Hyperfiniteness and related notions · Question 6.6 | {
"main": "math",
"sub": "logic and foundations",
"slug": "logic-and-foundations",
"name": "Logic and foundations",
"original_discipline": "mathematics"
} | [] | [
{
"code": "03",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Logic. http://aimpl.org/descriptgraph/ Not an author-supplied MSC code."
}
] | Is a Borel graph with finite asi (asymptotic separation index) hyperfinite? Does such a graph always have asi $\leq 1$? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Descriptive graph theory",
"type": "workshop-problem-list",
"url": "http://aimpl.org/descriptgraph/6/#38756a1f9b537f4591526253cd152982",
"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 | [] | [] | Descriptive graph theory · AIMPL workshop record | ## Section context
Let $X$ be a Polish space. | 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": "Descriptive graph theory · Original question",
"url": "http://aimpl.org/descriptgraph/6/#38756a1f9b537f4591526253cd152982",
"note": null,
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{
"kind": "website",
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"url": "http://aimpl.org/de... | {
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1.0.0 | problem:aim-38756a1f9b537f4591526253cd154875 | problem | aim-38756a1f9b537f4591526253cd154875 | Miscellaneous · Question 7.1 | {
"main": "math",
"sub": "logic and foundations",
"slug": "logic-and-foundations",
"name": "Logic and foundations",
"original_discipline": "mathematics"
} | [] | [
{
"code": "03",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Logic. http://aimpl.org/descriptgraph/ Not an author-supplied MSC code."
}
] | [a.]
- Is every $F$ Borel Ramsey? We are especially interested in not spherical $F$.
- If $F$ is Borel Ramsey, is it Ramsey? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Descriptive graph theory",
"type": "workshop-problem-list",
"url": "http://aimpl.org/descriptgraph/7/#38756a1f9b537f4591526253cd154875",
"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 | [] | [] | Descriptive graph theory · AIMPL workshop record | ## Question context
Call a finite set $F \subset \mathbb{R}^k$ Ramsey if for every finite $c$, there is a large enough $n \geq k$ such that any $c$-coloring of $\mathbb{R}^n$ yields a monochromatic copy of $F$. Call $F$ Borel Ramsey if the same holds where we only consider Borel colorings of $\mathbb{R}^n$. Call $F$ s... | 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
It is known that non-spherical $F$ are not Ramsey | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Descriptive graph theory · Original question",
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{
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"url": "http://aimpl.org/de... | {
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"published_at": "2026-09-09T22:24:01.677Z",
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} | 2026-10-10T16:07:49.246Z | {"database_id":"50e7130f-ee2d-4e68-ba3c-d612e8c5f55e","format_issues":null,"number":10514} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd155842 | problem | aim-38756a1f9b537f4591526253cd155842 | Miscellaneous · Question 7.2 | {
"main": "math",
"sub": "logic and foundations",
"slug": "logic-and-foundations",
"name": "Logic and foundations",
"original_discipline": "mathematics"
} | [] | [
{
"code": "03",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Logic. http://aimpl.org/descriptgraph/ Not an author-supplied MSC code."
}
] | Among all Polish $\mathbb{Q}$-vector spaces ordered by continuous $\mathbb{Q}$-linear injectability, is there anything between $\ell^1(\mathbb{Q})$ and $\mathbb{R}$? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Descriptive graph theory",
"type": "workshop-problem-list",
"url": "http://aimpl.org/descriptgraph/7/#38756a1f9b537f4591526253cd155842",
"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 | [] | [] | Descriptive graph theory · 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": "Descriptive graph theory · Original question",
"url": "http://aimpl.org/descriptgraph/7/#38756a1f9b537f4591526253cd155842",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "http://aimpl.org/de... | {
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"imported_at": "2026-09-10",
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} | 2026-10-10T16:07:49.246Z | {"database_id":"3aa22cc4-05aa-4b9e-93da-58fae0945883","format_issues":null,"number":10515} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd155f25 | problem | aim-38756a1f9b537f4591526253cd155f25 | Miscellaneous · Question 7.3 | {
"main": "math",
"sub": "logic and foundations",
"slug": "logic-and-foundations",
"name": "Logic and foundations",
"original_discipline": "mathematics"
} | [] | [
{
"code": "03",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Logic. http://aimpl.org/descriptgraph/ Not an author-supplied MSC code."
}
] | Let $(X,\mu),(Y,\nu)$ be standard probability spaces with $\mu$ and $\nu$ atomless. Let $T$ and $G$ be Borel pmp graphs on $(X,\mu)$ and $(Y,\nu)$ resp. such that
[i.]
- $T$ is acyclic and has bounded degree.
- For some $\epsilon > 0$, For all $y \in Y$, $\nu(N_G(y)) > \frac{1}{2} + \epsilon$.
Is ... | unassessed | {
"key": "aimpl",
"name": "AIMPL · Descriptive graph theory",
"type": "workshop-problem-list",
"url": "http://aimpl.org/descriptgraph/7/#38756a1f9b537f4591526253cd155f25",
"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 | [] | [] | Descriptive graph theory · 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.
## Status note in the source
**** I have specifically been told that this problem has a trivial negative answer as stated and will need to be amended. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Descriptive graph theory · Original question",
"url": "http://aimpl.org/descriptgraph/7/#38756a1f9b537f4591526253cd155f25",
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"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "http://aimpl.org/de... | {
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"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": "2026-09-09T22:24:01.690Z",
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} | 2026-10-10T16:07:49.246Z | {"database_id":"f21d88d6-804a-4fd5-b5ac-8319b4f11c94","format_issues":null,"number":10516} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd156f7a | problem | aim-38756a1f9b537f4591526253cd156f7a | Miscellaneous · Question 7.4 | {
"main": "math",
"sub": "logic and foundations",
"slug": "logic-and-foundations",
"name": "Logic and foundations",
"original_discipline": "mathematics"
} | [] | [
{
"code": "03",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Logic. http://aimpl.org/descriptgraph/ Not an author-supplied MSC code."
}
] | Let $f$ be a countable-to-1 aperiodic (i.e. acyclic) Borel function which is well founded as a binary relation (no infinite back-orbits).
[a.]
- Is there a Borel complete section (for $f$’s orbit equivalence relation) $B$ such that $f[B] \subset B$ and $f$ restricted to $B$ is finite-to-1? (There is a $\mu$-me... | unassessed | {
"key": "aimpl",
"name": "AIMPL · Descriptive graph theory",
"type": "workshop-problem-list",
"url": "http://aimpl.org/descriptgraph/7/#38756a1f9b537f4591526253cd156f7a",
"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 | [] | [] | Descriptive graph theory · 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.
## Status note in the source
Resolved during the workshop with negative answer even to part (b). | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Descriptive graph theory · Original question",
"url": "http://aimpl.org/descriptgraph/7/#38756a1f9b537f4591526253cd156f7a",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "http://aimpl.org/de... | {
"source_record": "38756a1f9b537f4591526253cd156f7a",
"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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"created_at": "2026-09-09T22:23:49.983Z",
"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:01.695Z",
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} | 2026-10-10T16:07:49.246Z | {"database_id":"e4d96e2a-7755-49e1-9285-5e9c331a0ae2","format_issues":null,"number":10517} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd158b09 | problem | aim-38756a1f9b537f4591526253cd158b09 | Miscellaneous · Question 7.5 | {
"main": "math",
"sub": "logic and foundations",
"slug": "logic-and-foundations",
"name": "Logic and foundations",
"original_discipline": "mathematics"
} | [] | [
{
"code": "03",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL source category: Logic. http://aimpl.org/descriptgraph/ Not an author-supplied MSC code."
}
] | Is the measurable arboricity of a Borel graph always equal to its actual arboricity? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Descriptive graph theory",
"type": "workshop-problem-list",
"url": "http://aimpl.org/descriptgraph/7/#38756a1f9b537f4591526253cd158b09",
"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 | [] | [] | Descriptive graph theory · 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.
## Status note in the source
This false for Borel arboricity. Some bounds in nice cases were achieved during the workshop. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Descriptive graph theory · Original question",
"url": "http://aimpl.org/descriptgraph/7/#38756a1f9b537f4591526253cd158b09",
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"sort_order": 0
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{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "http://aimpl.org/de... | {
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1.0.0 | problem:aim-38756a1f9b537f4591526253cd1ba755 | problem | aim-38756a1f9b537f4591526253cd1ba755 | Pathological sets · Question 1.1 | {
"main": "math",
"sub": "analysis",
"slug": "analysis",
"name": "Analysis",
"original_discipline": "mathematics"
} | [] | [
{
"code": "03",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Effective methods in measure and dimension. http://aimpl.org/algorandom/ Not an author-supplied MSC code."
}
] | Assume $CH$ and fix $s \in [0, 1)$. Is there a set $E \subseteq \mathbb{R}^2$ such that $\text{dim}_H(E) = 1 + s$ and for every continuous function $f \colon \mathbb{R}^2 \to \mathbb{R}$, $\text{dim}_H(f(E)) \leq s$? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Effective methods in measure and dimension",
"type": "workshop-problem-list",
"url": "http://aimpl.org/algorandom/1/#38756a1f9b537f4591526253cd1ba755",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Prob... | null | null | null | not-recorded | not-recorded | null | [] | [] | Effective methods in measure and dimension · AIMPL workshop record | ## Question context
P. Lutz and J. Miller have shown that, assuming CH, there is some set $E \subseteq \mathbb{R}^2$ such that $\text{dim}_H(E) = 1$ and for any continuous function $f\colon \mathbb{R}^2 \to \mathbb{R}$, $\text{dim}_H(f(E)) = 0$. This is a strengthening of a theorem of Davies, which has the same form b... | 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
Note that such a result must use some topological properties of $\mathbb{R}^2$ because the analogous result is false for $2^\omega... | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Joe Miller | null | null | null | [
{
"kind": "website",
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"note": null,
"sort_order": 0
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{
"kind": "website",
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"url": "http... | {
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"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
"current-status-unassessed",
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"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:04.084Z",
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} | 2026-10-10T16:07:49.246Z | {"database_id":"aa1f41dc-7412-4fc8-a4c2-5c1723758fe9","format_issues":null,"number":10532} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd1bc072 | problem | aim-38756a1f9b537f4591526253cd1bc072 | Pathological sets · Question 1.2 | {
"main": "math",
"sub": "analysis",
"slug": "analysis",
"name": "Analysis",
"original_discipline": "mathematics"
} | [] | [
{
"code": "03",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Effective methods in measure and dimension. http://aimpl.org/algorandom/ Not an author-supplied MSC code."
}
] | Assume CH and fix $s \in [0, 1]$. Is there a set $E \subseteq 2^\omega$ such that $\text{dim}_H(E) = s$ and for every Borel $f \colon 2^\omega \to 2^\omega$, $\text{dim}_H(f(E)) \leq s$? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Effective methods in measure and dimension",
"type": "workshop-problem-list",
"url": "http://aimpl.org/algorandom/1/#38756a1f9b537f4591526253cd1bc072",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Prob... | null | null | null | not-recorded | not-recorded | null | [] | [] | Effective methods in measure and dimension · AIMPL workshop record | ## Question context
P. Lutz and J. Miller have also shown the following theorem. Assume CH and fix $s \in [0, 1]$. Then there a set $E \subseteq 2^\omega$ such that $\text{dim}_H(E) = s$ and for every continuous $f \colon 2^\omega \to 2^\omega$, $\text{dim}_H(f(E)) \leq s$. | 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
It would be interesting to find any nontrivial upper bound on the complexity of $f$. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Effective methods in measure and dimension · Original question",
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{
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} | 2026-10-10T16:07:49.246Z | {"database_id":"50600555-874e-47a4-9467-3400951925e4","format_issues":null,"number":10533} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd1bd842 | problem | aim-38756a1f9b537f4591526253cd1bd842 | Pathological sets · Question 1.3 | {
"main": "math",
"sub": "analysis",
"slug": "analysis",
"name": "Analysis",
"original_discipline": "mathematics"
} | [] | [
{
"code": "03",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Effective methods in measure and dimension. http://aimpl.org/algorandom/ Not an author-supplied MSC code."
}
] | Let $Z \in 2^\omega$ be arbitrary and fix $s \in (0, 1)$. Is there some $X \in 2^\omega$ such that $\text{dim}^Z(X) = s$ and for all $Y \leq_T X'$, $\text{dim}^{0'}(Y) \leq s$? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Effective methods in measure and dimension",
"type": "workshop-problem-list",
"url": "http://aimpl.org/algorandom/1/#38756a1f9b537f4591526253cd1bd842",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Prob... | null | null | null | not-recorded | not-recorded | null | [] | [] | Effective methods in measure and dimension · 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.
## Status note in the source
It seems likely that if this question has a positive answer then so does the previous one. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | null | null | null | null | [
{
"kind": "website",
"citation": "Effective methods in measure and dimension · Original question",
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"note": null,
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{
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"citation": "AIMPL source bibliography",
"url": "http... | {
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1.0.0 | problem:aim-38756a1f9b537f4591526253cd1befc1 | problem | aim-38756a1f9b537f4591526253cd1befc1 | Positive results · Question 2.1 | {
"main": "math",
"sub": "analysis",
"slug": "analysis",
"name": "Analysis",
"original_discipline": "mathematics"
} | [] | [
{
"code": "03",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Effective methods in measure and dimension. http://aimpl.org/algorandom/ Not an author-supplied MSC code."
}
] | For what $s$ can we prove that if $E \subseteq \mathbb{R}^2$ is of Hausdorff dimension greater than $1$ then $\text{dim}_H(\Delta(E)) \geq s$? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Effective methods in measure and dimension",
"type": "workshop-problem-list",
"url": "http://aimpl.org/algorandom/2/#38756a1f9b537f4591526253cd1befc1",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Prob... | null | null | null | not-recorded | not-recorded | null | [] | [] | Effective methods in measure and dimension · AIMPL workshop record | ## Question context
For a set $E$ in a metric space, define $\Delta(E) \subseteq \mathbb{R}$ by
$$
\Delta(E) = \{d(x, y) \mid x, y \in E\}.
$$ | 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
Stull has recently proved that this is possible for $s = 3/4$, improving the best previous result of $\sim 0.7$. It is conjectured... | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Don Stull | null | null | null | [
{
"kind": "website",
"citation": "Effective methods in measure and dimension · Original question",
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{
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} | 2026-10-10T16:07:49.246Z | {"database_id":"f09ec971-1c10-4c57-a45a-ca91a5387a68","format_issues":null,"number":10537} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd1bfe85 | problem | aim-38756a1f9b537f4591526253cd1bfe85 | Positive results · Question 2.2 | {
"main": "math",
"sub": "analysis",
"slug": "analysis",
"name": "Analysis",
"original_discipline": "mathematics"
} | [] | [
{
"code": "03",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Effective methods in measure and dimension. http://aimpl.org/algorandom/ Not an author-supplied MSC code."
}
] | Marstrand's theorem for works when $\text{dim}_H(E) = \text{dim}_P(E)$---i.e.\ for such an $E$ and for almost every direction $e$, $\text{dim}_H(\text{proj}_e(E)) = \min(1, \text{dim}_H(E))$. What can we say if we instead assume $\text{dim}_P(E) \leq \text{dim}_H(E) + \varepsilon$? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Effective methods in measure and dimension",
"type": "workshop-problem-list",
"url": "http://aimpl.org/algorandom/2/#38756a1f9b537f4591526253cd1bfe85",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Prob... | null | null | null | not-recorded | not-recorded | null | [] | [] | Effective methods in measure and dimension · 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.
## Status note in the source
One way to address this question might be to come up with an ``up-to-$\varepsilon$'' version of Hausdorff optimal oracles. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Dan Turetsky | null | null | null | [
{
"kind": "website",
"citation": "Effective methods in measure and dimension · Original question",
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"note": null,
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},
{
"kind": "website",
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"url": "http... | {
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} | 2026-10-10T16:07:49.246Z | {"database_id":"748e0432-21a4-4b17-96f2-75896bbae855","format_issues":null,"number":10538} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd1c0e7c | problem | aim-38756a1f9b537f4591526253cd1c0e7c | Positive results · Question 2.3 | {
"main": "math",
"sub": "analysis",
"slug": "analysis",
"name": "Analysis",
"original_discipline": "mathematics"
} | [] | [
{
"code": "03",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Effective methods in measure and dimension. http://aimpl.org/algorandom/ Not an author-supplied MSC code."
}
] | Is there an effective proof of Marstrand's second projection theorem? Also, is the following effective version of the theorem true: if $x \in \mathbb{R}^2$ is such that $\text{dim}(x) > 1$ and $e$ is Martin-L\"of random relative to $x$ then is $\text{proj}_e(x)$ Martin-L\"of random (or, better yet, random relative to $... | unassessed | {
"key": "aimpl",
"name": "AIMPL · Effective methods in measure and dimension",
"type": "workshop-problem-list",
"url": "http://aimpl.org/algorandom/2/#38756a1f9b537f4591526253cd1c0e7c",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Prob... | null | null | null | not-recorded | not-recorded | null | [] | [] | Effective methods in measure and dimension · AIMPL workshop record | ## Question context
Marstrand's second projection theorem states that if $E \subseteq \mathbb{R}^2$ is an analytic set such that $\text{dim}_H(E) > 1$ then for almost every direction $e$, $\text{dim}_H(\text{proj}_e(E))$ has positive Lebesgue measure. | 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"
] | Neil Lutz | null | null | null | [
{
"kind": "website",
"citation": "Effective methods in measure and dimension · Original question",
"url": "http://aimpl.org/algorandom/2/#38756a1f9b537f4591526253cd1c0e7c",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "http... | {
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"imported_at": "2026-09-10",
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"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
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"published_at": "2026-09-09T22:24:04.127Z",
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} | 2026-10-10T16:07:49.246Z | {"database_id":"d1d2f7d7-da98-4106-a5db-b23c199f0971","format_issues":null,"number":10539} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd1c100a | problem | aim-38756a1f9b537f4591526253cd1c100a | Positive results · Question 2.4 | {
"main": "math",
"sub": "analysis",
"slug": "analysis",
"name": "Analysis",
"original_discipline": "mathematics"
} | [] | [
{
"code": "03",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Effective methods in measure and dimension. http://aimpl.org/algorandom/ Not an author-supplied MSC code."
}
] | Is there a set $E \subseteq [0,1]^2$ which is $\Pi^0_1$ and of Hausdorff dimension $> 1$ such that for every non-Schnorr random direction $e$, $\text{proj}_e(E)$ has measure $0$? Or replace Schnorr randomness with other randomness notions. | unassessed | {
"key": "aimpl",
"name": "AIMPL · Effective methods in measure and dimension",
"type": "workshop-problem-list",
"url": "http://aimpl.org/algorandom/2/#38756a1f9b537f4591526253cd1c100a",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Prob... | null | null | null | not-recorded | not-recorded | null | [] | [] | Effective methods in measure and dimension · AIMPL workshop record | ## Question context
The following question is an attempt to quantify the randomness required by Marstrand's second projection theorem. | 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"
] | Don Stull | null | null | null | [
{
"kind": "website",
"citation": "Effective methods in measure and dimension · Original question",
"url": "http://aimpl.org/algorandom/2/#38756a1f9b537f4591526253cd1c100a",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "http... | {
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"imported_at": "2026-09-10",
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"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",
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"published_at": "2026-09-09T22:24:04.133Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"4b08fb0c-04a2-4901-91ae-d5ee7916ea95","format_issues":null,"number":10540} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd1c3d88 | problem | aim-38756a1f9b537f4591526253cd1c3d88 | Pathological sets · Question 1.4 | {
"main": "math",
"sub": "analysis",
"slug": "analysis",
"name": "Analysis",
"original_discipline": "mathematics"
} | [] | [
{
"code": "03",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Effective methods in measure and dimension. http://aimpl.org/algorandom/ Not an author-supplied MSC code."
}
] | Does the existence of a set $E$ such that $E$ is not $\sigma$-finite in dimension $1$ but for every superlinear gauge function $\varphi$, $H_\varphi(E) = 0$ imply that there is a counterexample to the Borel conjecture? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Effective methods in measure and dimension",
"type": "workshop-problem-list",
"url": "http://aimpl.org/algorandom/1/#38756a1f9b537f4591526253cd1c3d88",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Prob... | null | null | null | not-recorded | not-recorded | null | [] | [] | Effective methods in measure and dimension · AIMPL workshop record | ## Question context
Besicovitch showed that, assuming CH, there is a set $E \subseteq \mathbb{R}^2$ such that $E$ is not $\sigma$-finite in dimension $1$ but for every superlinear gauge function $\varphi$, $H_\varphi(E) = 0$. One can also get such a set $E$ from a counterexample to the Borel conjecture (i.e.\ the stat... | 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"
] | Ted Slaman | null | null | null | [
{
"kind": "website",
"citation": "Effective methods in measure and dimension · Original question",
"url": "http://aimpl.org/algorandom/1/#38756a1f9b537f4591526253cd1c3d88",
"note": null,
"sort_order": 0
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{
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"url": "http... | {
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"imported_at": "2026-09-10",
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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":"c4cee6b8-3425-402f-a42b-e3041599bd1b","format_issues":null,"number":10535} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd1c4c6e | problem | aim-38756a1f9b537f4591526253cd1c4c6e | Pathological sets · Question 1.5 | {
"main": "math",
"sub": "analysis",
"slug": "analysis",
"name": "Analysis",
"original_discipline": "mathematics"
} | [] | [
{
"code": "03",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Effective methods in measure and dimension. http://aimpl.org/algorandom/ Not an author-supplied MSC code."
}
] | Most constructions of sets with pathological behavior related to Hausdorff dimension require some assumption beyond ZFC, i.e. CH, Martin's axiom, the failure of the Borel conjecture, etc. Is it provable in ZFC that such pathological sets exist or is their existence independent of ZFC? For a concrete example, is it prov... | unassessed | {
"key": "aimpl",
"name": "AIMPL · Effective methods in measure and dimension",
"type": "workshop-problem-list",
"url": "http://aimpl.org/algorandom/1/#38756a1f9b537f4591526253cd1c4c6e",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Prob... | null | null | null | not-recorded | not-recorded | null | [] | [] | Effective methods in measure and dimension · 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"
] | Denis Hirschfeldt | null | null | null | [
{
"kind": "website",
"citation": "Effective methods in measure and dimension · Original question",
"url": "http://aimpl.org/algorandom/1/#38756a1f9b537f4591526253cd1c4c6e",
"note": null,
"sort_order": 0
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{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "http... | {
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"imported_at": "2026-09-10",
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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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"created_at": "2026-09-09T22:23:49.983Z",
"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:04.110Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"14c9540d-cc5b-44d2-ba85-01bed2a36362","format_issues":null,"number":10536} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd1c5a9b | problem | aim-38756a1f9b537f4591526253cd1c5a9b | Positive results · Question 2.5 | {
"main": "math",
"sub": "analysis",
"slug": "analysis",
"name": "Analysis",
"original_discipline": "mathematics"
} | [] | [
{
"code": "03",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Effective methods in measure and dimension. http://aimpl.org/algorandom/ Not an author-supplied MSC code."
}
] | Are there geometric properties that imply (or are equivalent to) a set having a Hausdorff optimal oracle? More generally, is the definition of Hausdorff optimal oracle ``right''? Is there a better definition? | unassessed | {
"key": "aimpl",
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"type": "workshop-problem-list",
"url": "http://aimpl.org/algorandom/2/#38756a1f9b537f4591526253cd1c5a9b",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Prob... | null | null | null | not-recorded | not-recorded | null | [] | [] | Effective methods in measure and dimension · 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"
] | Elvira Mayordomo | null | null | null | [
{
"kind": "website",
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1.0.0 | problem:aim-38756a1f9b537f4591526253cd1c5d7d | problem | aim-38756a1f9b537f4591526253cd1c5d7d | Positive results · Question 2.6 | {
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} | [] | [
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}
] | Are there any known inequalities for Kolmogorov complexity that imply interesting results in geometric measure theory via the point-to-set principle? | unassessed | {
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"notes": "Prob... | null | null | null | not-recorded | not-recorded | null | [] | [] | Effective methods in measure and dimension · 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"
] | Alexander Shen | null | null | null | [
{
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1.0.0 | problem:aim-38756a1f9b537f4591526253cd1c6d6e | problem | aim-38756a1f9b537f4591526253cd1c6d6e | Positive results · Question 2.7 | {
"main": "math",
"sub": "analysis",
"slug": "analysis",
"name": "Analysis",
"original_discipline": "mathematics"
} | [] | [
{
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}
] | For which $f$ do we have $(2^k\cdot x)_{k \in \mathbb{N}}$ equidistributed mod $1$ whenever $x$ is $f$-normal? | unassessed | {
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"notes": "Prob... | null | null | null | not-recorded | not-recorded | null | [] | [] | Effective methods in measure and dimension · AIMPL workshop record | ## Question context
Fix an enumeration $f \colon 2^{< \omega} \to \mathbb{Q}_2$ (where $\mathbb{Q}_2$ indicates dyadic rationals) and $x \in \mathbb{R}$ and look at
$$
\text{dim}_{FS}^f(x) = \inf_{A \in \text{finite state machines}}\liminf_{r \to \infty} K^f_{A, r}(x)/r
$$
Say $x$ is $f$-normal if $\text{dim... | 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"
] | Elvira Mayordomo | null | null | null | [
{
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1.0.0 | problem:aim-38756a1f9b537f4591526253cd1e1709 | problem | aim-38756a1f9b537f4591526253cd1e1709 | Open Problems · Question 1.05 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
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}
] | Suppose we are given a closed 4-manifold $(M^4, [g])$ which is not conformally equivalent to the standard 4-sphere, and for which $P_g$ is nonnegative, has trivial kernel, and $k_g = 8\pi^2$. Study the flow
$$
\frac{\partial g}{\partial t} = (-P_gQ_g)g.
$$
Does a solution exist globally in time? Does it converge ... | unassessed | {
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"... | null | null | null | not-recorded | not-recorded | null | [] | [] | Partial differential equations and conformal geometry · 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"
] | Cheikh Ndiaye | null | null | null | [
{
"kind": "website",
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{
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1.0.0 | problem:aim-38756a1f9b537f4591526253cd1e476a | problem | aim-38756a1f9b537f4591526253cd1e476a | Open Problems · Question 1.1 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "35",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Partial differential equations and conformal geometry. http://aimpl.org/pdeconformal/ Not an author-supplied MSC code."
}
] | Let $(X^{n+1}, g_+)$ be a Poincar\'e Einstein manifold and assume $Y^{k+1}\subseteq X^{n+1}$, $k$ odd, is minimal and regular at infinity. Does there exist a local conformal invariant $\mathcal{I}$ such that
$$
A= c_{k,n}\chi(Y) + \int_Y\mathcal{I}\;dS?
$$ | unassessed | {
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"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"... | null | null | null | not-recorded | not-recorded | null | [] | [] | Partial differential equations and conformal geometry · 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"
] | Robin Graham | null | null | null | [
{
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"url": "http://aimpl.org/pdeconformal/1/#38756a1f9b537f4591526253cd1e476a",
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{
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... | {
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1.0.0 | problem:aim-38756a1f9b537f4591526253cd1e5c52 | problem | aim-38756a1f9b537f4591526253cd1e5c52 | Open Problems · Question 1.15 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
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"basis": "source-map",
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}
] | (A) Generalize formula of G-M-T (see below) to higher dimensions.
$$
\pi^2(4\chi(X_+) - \chi(\Sigma)) = \frac{3}{4}V_+ + \frac{1}{8}\int_{X_+}|W|^2dv+ \int_Y C\;dS
$$
(B) Generalize (A) to higher co-dimension. Dimension of $X_+$ is even, dimension of $Y$ is odd. | unassessed | {
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"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"... | null | null | null | not-recorded | not-recorded | null | [] | [] | Partial differential equations and conformal geometry · 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 Waldron | null | null | null | [
{
"kind": "website",
"citation": "Partial differential equations and conformal geometry · Original question",
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"note": null,
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{
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... | {
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} | 2026-10-10T16:07:49.246Z | {"database_id":"81e09928-7e37-4ff4-9b8a-18fe9f56ed61","format_issues":null,"number":11421} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd1e6f8d | problem | aim-38756a1f9b537f4591526253cd1e6f8d | Open Problems · Question 1.2 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "35",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Partial differential equations and conformal geometry. http://aimpl.org/pdeconformal/ Not an author-supplied MSC code."
}
] | Consider a closed 6-manifold $M^6$. The space $\mathcal{S}$ of global conformal invariants is 4-dimensional: $\mathcal{S}= \text{span}\{I_1,\cdots, I_4\}$.
Theorem (Case, 2022): $I_1([g])\ge 0$ if $[g]$ admits an einstein metric. (arXiv:2207.00645 [math.DG])
Definition
$$
I_i(M^6) := \sup_{[g]} I_i([g])
$$
(A)... | unassessed | {
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"url": "http://aimpl.org/pdeconformal/1/#38756a1f9b537f4591526253cd1e6f8d",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"... | null | null | null | not-recorded | not-recorded | null | [] | [] | Partial differential equations and conformal geometry · 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"
] | Jeffrey Case | null | null | null | [
{
"kind": "website",
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... | {
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1.0.0 | problem:aim-38756a1f9b537f4591526253cd1e8b6f | problem | aim-38756a1f9b537f4591526253cd1e8b6f | Open Problems · Question 1.25 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "35",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Partial differential equations and conformal geometry. http://aimpl.org/pdeconformal/ Not an author-supplied MSC code."
}
] | Assume $k<\frac{n}{2}$, $n\ge 3$, and let $[g]_{k-1} = \{g_w = e^{-2w}g_{eucl}: Vol(g_w) = 1, A_w\in \Gamma_{k-1}^+\}$.
Is
$$
\inf_{g\in[g]_{k-1}}\int \sigma_k(g_w^{-1}A_w)dv_{g_w}
$$
attained? In particular, can this be proved using concentration-compactness arguments? Can minimizers be classified? (Are they bub... | unassessed | {
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"citation": null,
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"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"... | null | null | null | not-recorded | not-recorded | null | [] | [] | Partial differential equations and conformal geometry · 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"
] | Yi Wang | null | null | null | [
{
"kind": "website",
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... | {
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} | 2026-10-10T16:07:49.246Z | {"database_id":"2eb5171e-77d2-45e6-b19e-baa3ae194e01","format_issues":null,"number":11423} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd1e9ae9 | problem | aim-38756a1f9b537f4591526253cd1e9ae9 | Open Problems · Question 1.3 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "35",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Partial differential equations and conformal geometry. http://aimpl.org/pdeconformal/ Not an author-supplied MSC code."
}
] | Are there any ``curvature quantity" which transforms under conformal changes via the p-laplace operator? Note: $\int |\nabla u|^n\;dv_g$ is conformally invariant. In general, is there a conformal invariant operator whose leading term is the $p$-laplace operator? | unassessed | {
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"url": "http://aimpl.org/pdeconformal/1/#38756a1f9b537f4591526253cd1e9ae9",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"... | null | null | null | not-recorded | not-recorded | null | [] | [] | Partial differential equations and conformal geometry · 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"
] | Jie Qing | null | null | null | [
{
"kind": "website",
"citation": "Partial differential equations and conformal geometry · Original question",
"url": "http://aimpl.org/pdeconformal/1/#38756a1f9b537f4591526253cd1e9ae9",
"note": null,
"sort_order": 0
},
{
"kind": "website",
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... | {
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"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
"current-status-unassessed",
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} | 2026-10-10T16:07:49.246Z | {"database_id":"69b1aa92-cd82-4c0d-9c6e-9636216cb6aa","format_issues":null,"number":11424} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd1e9df4 | problem | aim-38756a1f9b537f4591526253cd1e9df4 | Open Problems · Question 1.35 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "35",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Partial differential equations and conformal geometry. http://aimpl.org/pdeconformal/ Not an author-supplied MSC code."
}
] | $X^{n+1}$ compact manifold with $\partial X^{n+1}\not = \emptyset$. Define
$$
Y_1(X,\partial X, [g]) = \inf_{\tilde g \in [g]} \frac{\int_X R_{\tilde g} \;dv_{\tilde g} + c_n\int_{\partial X}H_{\tilde g} \; dS_{\tilde g}}{(Vol(X,\tilde g))^{\frac{n-1}{n+1}}}
$$
$$
Y_2(X,\partial X, [g]) = \inf_{\tilde g \in [g]} ... | unassessed | {
"key": "aimpl",
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"type": "workshop-problem-list",
"url": "http://aimpl.org/pdeconformal/1/#38756a1f9b537f4591526253cd1e9df4",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"... | null | null | null | not-recorded | not-recorded | null | [] | [] | Partial differential equations and conformal geometry · 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"
] | Alice Chang | null | null | null | [
{
"kind": "website",
"citation": "Partial differential equations and conformal geometry · Original question",
"url": "http://aimpl.org/pdeconformal/1/#38756a1f9b537f4591526253cd1e9df4",
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{
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... | {
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"created_at": "2026-09-09T22:23:49.983Z",
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"published_at": "2026-09-09T22:24:09.402Z",
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} | 2026-10-10T16:07:49.246Z | {"database_id":"d12396ef-a51a-4066-8cd5-e3cc4f0c625e","format_issues":null,"number":11425} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd1ebb4d | problem | aim-38756a1f9b537f4591526253cd1ebb4d | Open Problems · Question 1.4 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "35",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Partial differential equations and conformal geometry. http://aimpl.org/pdeconformal/ Not an author-supplied MSC code."
}
] | Relate the Mobius energy of an un-knotted loop $\gamma$ in $\mathbb{S}^3$ to the renormalized area of a minimal disk $D\subseteq \mathbb{H}^4$ with $\partial D = \gamma$. | unassessed | {
"key": "aimpl",
"name": "AIMPL · Partial differential equations and conformal geometry",
"type": "workshop-problem-list",
"url": "http://aimpl.org/pdeconformal/1/#38756a1f9b537f4591526253cd1ebb4d",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"... | null | null | null | not-recorded | not-recorded | null | [] | [] | Partial differential equations and conformal geometry · 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"
] | Andrea Malchiodi | null | null | null | [
{
"kind": "website",
"citation": "Partial differential equations and conformal geometry · Original question",
"url": "http://aimpl.org/pdeconformal/1/#38756a1f9b537f4591526253cd1ebb4d",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
... | {
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"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": "2026-09-09T22:24:09.408Z",
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} | 2026-10-10T16:07:49.246Z | {"database_id":"e63cff46-180e-48f7-8ad6-ba2aedcd2adc","format_issues":null,"number":11426} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd1eca89 | problem | aim-38756a1f9b537f4591526253cd1eca89 | Open Problems · Question 1.45 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "35",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Partial differential equations and conformal geometry. http://aimpl.org/pdeconformal/ Not an author-supplied MSC code."
}
] | Suppose $(\mathbb{R}^{n+1}_+,g_+)$ satisfies: i) $Ric(g_+) = -ng_+$, ii) $y^2g_+$ extends to $\mathbb{R}^n\subset \mathbb{R}^{n+1}_+$ such that (iii) $y^2g_+|_{R^n} = e^{2f}g_{eucl}$. Under what condition(s) does it follow that $g_+ =g_{hyp}$? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Partial differential equations and conformal geometry",
"type": "workshop-problem-list",
"url": "http://aimpl.org/pdeconformal/1/#38756a1f9b537f4591526253cd1eca89",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"... | null | null | null | not-recorded | not-recorded | null | [] | [] | Partial differential equations and conformal geometry · 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"
] | Alice Chang | null | null | null | [
{
"kind": "website",
"citation": "Partial differential equations and conformal geometry · Original question",
"url": "http://aimpl.org/pdeconformal/1/#38756a1f9b537f4591526253cd1eca89",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
... | {
"source_record": "38756a1f9b537f4591526253cd1eca89",
"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": "2026-09-09T22:24:09.413Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"8c1957bb-c6b7-4b4a-8235-dea1d83d1320","format_issues":null,"number":11427} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd1ed5c9 | problem | aim-38756a1f9b537f4591526253cd1ed5c9 | Open Problems · Question 1.5 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "35",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Partial differential equations and conformal geometry. http://aimpl.org/pdeconformal/ Not an author-supplied MSC code."
}
] | Suppose we are given a 4-manifold $(M^4,[g])$ with $\partial M^4\not = \emptyset$ and a 2-dimensional corner $\Sigma$. Does there exist a unique $\tilde g = e^{2w}g$ such that
$$
\begin{cases}
Q_{\tilde g} &=0 \; \text{ in }M^4,\\
T_{\tilde g}&= 0 \; \text{ on }\partial M^4,\\
U_{\tilde g}& = \lambda \; \text{ on }\... | unassessed | {
"key": "aimpl",
"name": "AIMPL · Partial differential equations and conformal geometry",
"type": "workshop-problem-list",
"url": "http://aimpl.org/pdeconformal/1/#38756a1f9b537f4591526253cd1ed5c9",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"... | null | null | null | not-recorded | not-recorded | null | [] | [] | Partial differential equations and conformal geometry · 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"
] | Stephen McKeown | null | null | null | [
{
"kind": "website",
"citation": "Partial differential equations and conformal geometry · Original question",
"url": "http://aimpl.org/pdeconformal/1/#38756a1f9b537f4591526253cd1ed5c9",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
... | {
"source_record": "38756a1f9b537f4591526253cd1ed5c9",
"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": "2026-09-09T22:24:09.419Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"7b5f48d1-9d20-40d7-b818-2de54da77fc0","format_issues":null,"number":11428} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd1ee816 | problem | aim-38756a1f9b537f4591526253cd1ee816 | Open Problems · Question 1.55 | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [
{
"code": "35",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Partial differential equations and conformal geometry. http://aimpl.org/pdeconformal/ Not an author-supplied MSC code."
}
] | Let $g_o$ be a conformally compact metric defined on $\mathbb{B}^4$. Assume $Y(\mathbb{S}^3,[\rho^2 g_o])>0$, where $\rho>0$ is a defining function. Consider the normalized Ricci flow
$$
\begin{cases}
\frac{\partial g}{\partial t} &= -2g - 6\text{Ric}_g\\
g(0,\cdot) &= g_0.
\end{cases}
$$
Analyze singularity format... | unassessed | {
"key": "aimpl",
"name": "AIMPL · Partial differential equations and conformal geometry",
"type": "workshop-problem-list",
"url": "http://aimpl.org/pdeconformal/1/#38756a1f9b537f4591526253cd1ee816",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"... | null | null | null | not-recorded | not-recorded | null | [] | [] | Partial differential equations and conformal geometry · 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"
] | Alice Chang | null | null | null | [
{
"kind": "website",
"citation": "Partial differential equations and conformal geometry · Original question",
"url": "http://aimpl.org/pdeconformal/1/#38756a1f9b537f4591526253cd1ee816",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
... | {
"source_record": "38756a1f9b537f4591526253cd1ee816",
"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": "2026-09-09T22:24:09.424Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"40fa19d8-ba17-4c0f-87e8-320cdcdd6eea","format_issues":null,"number":11429} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd1f5044 | problem | aim-38756a1f9b537f4591526253cd1f5044 | Are Computer-assisted proofs real proofs? | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [] | Are computer-assisted proofs always real proofs when proprietary software and/or hardware is involved that is not accessible to all readers/reviewers? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Computational mathematics in computer assisted proofs ",
"type": "workshop-problem-list",
"url": "http://aimpl.org/compproofs/1/#38756a1f9b537f4591526253cd1f5044",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"n... | null | null | null | not-recorded | not-recorded | null | [] | [] | Computational mathematics in computer assisted proofs · AIMPL workshop record | ## Section context
Here we collect general questions about aspects of computer-assisted proofs | 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
Follow-up comments/questions: Is it preferable to use pseudo-code rather than a programming language? Can everyone access hardware... | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | K. Buzzard | null | null | null | [
{
"kind": "website",
"citation": "Computational mathematics in computer assisted proofs · Original question",
"url": "http://aimpl.org/compproofs/1/#38756a1f9b537f4591526253cd1f5044",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
... | {
"source_record": "38756a1f9b537f4591526253cd1f5044",
"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": "2026-09-09T22:24:00.639Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"05331330-078b-49fa-9ecd-6328cc1e2d26","format_issues":null,"number":10354} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd1f5d7e | problem | aim-38756a1f9b537f4591526253cd1f5d7e | What is the right metric to determine computability? | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [] | In problems where mathematical analysis precedes a computer assisted step: How can we ensure that the formulation of problem is correctly posed so that computability and non-computability of a problem can be determined? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Computational mathematics in computer assisted proofs ",
"type": "workshop-problem-list",
"url": "http://aimpl.org/compproofs/1/#38756a1f9b537f4591526253cd1f5d7e",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"n... | null | null | null | not-recorded | not-recorded | null | [] | [] | Computational mathematics in computer assisted proofs · AIMPL workshop record | ## Section context
Here we collect general questions about aspects of computer-assisted proofs | 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
Follow-up comments/questions: What is the right metric (and in case of PDEs also the function space) to determine computability an... | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Y. T. Hou | null | null | null | [
{
"kind": "website",
"citation": "Computational mathematics in computer assisted proofs · Original question",
"url": "http://aimpl.org/compproofs/1/#38756a1f9b537f4591526253cd1f5d7e",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
... | {
"source_record": "38756a1f9b537f4591526253cd1f5d7e",
"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": "2026-09-09T22:24:00.675Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"965f4067-490c-4cef-ad78-0883a27ef39d","format_issues":null,"number":10355} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd1f6be1 | problem | aim-38756a1f9b537f4591526253cd1f6be1 | How should limitations in technology for conjectures/discoveries be adressed? | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [] | Can we uncover quantitative properties such as periodicity from numerical methods for PDEs? - In particular for integrable systems. Does (or should) a correct notion of computability depend on the hardware available at the current state of time? - How should we present work with highly experimental evidence? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Computational mathematics in computer assisted proofs ",
"type": "workshop-problem-list",
"url": "http://aimpl.org/compproofs/1/#38756a1f9b537f4591526253cd1f6be1",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"n... | null | null | null | not-recorded | not-recorded | null | [] | [] | Computational mathematics in computer assisted proofs · AIMPL workshop record | ## Section context
Here we collect general questions about aspects of computer-assisted proofs | 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
Follow-up comments/questions: Should this idea rather apply to conjectures heuristics? Should numerical methods be held more accou... | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | P. Deift | null | null | null | [
{
"kind": "website",
"citation": "Computational mathematics in computer assisted proofs · Original question",
"url": "http://aimpl.org/compproofs/1/#38756a1f9b537f4591526253cd1f6be1",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
... | {
"source_record": "38756a1f9b537f4591526253cd1f6be1",
"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": "2026-09-09T22:24:00.681Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"7f828236-884d-4e21-bdf3-76b5adc34c94","format_issues":null,"number":10356} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd1f828c | problem | aim-38756a1f9b537f4591526253cd1f828c | Computer-assisted proof of Mochizuk's work on the ABC conjecture! | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [] | Can one set up a machine-verifiable proof of the work by Mochizuki trying to proof the ABC conjecture? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Computational mathematics in computer assisted proofs ",
"type": "workshop-problem-list",
"url": "http://aimpl.org/compproofs/1/#38756a1f9b537f4591526253cd1f828c",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"n... | null | null | null | not-recorded | not-recorded | null | [] | [] | Computational mathematics in computer assisted proofs · AIMPL workshop record | ## Section context
Here we collect general questions about aspects of computer-assisted proofs | 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
Follow-up comments/questions: How should one document mathematics? - This may not be possible at the moment. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | J. Lagarias | null | null | null | [
{
"kind": "website",
"citation": "Computational mathematics in computer assisted proofs · Original question",
"url": "http://aimpl.org/compproofs/1/#38756a1f9b537f4591526253cd1f828c",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
... | {
"source_record": "38756a1f9b537f4591526253cd1f828c",
"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": "2026-09-09T22:24:00.686Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"dd46584c-b8f1-4484-9523-8c2a3b36adcd","format_issues":null,"number":10357} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd1f8e50 | problem | aim-38756a1f9b537f4591526253cd1f8e50 | General questions · Question 1.6 | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [] | Make computer-assisted proofs and software more accessible to math community! | unassessed | {
"key": "aimpl",
"name": "AIMPL · Computational mathematics in computer assisted proofs ",
"type": "workshop-problem-list",
"url": "http://aimpl.org/compproofs/1/#38756a1f9b537f4591526253cd1f8e50",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"n... | null | null | null | not-recorded | not-recorded | null | [] | [] | Computational mathematics in computer assisted proofs · AIMPL workshop record | ## Section context
Here we collect general questions about aspects of computer-assisted proofs | 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
Follow-up comments/questions: How to standardise computer-assisted proofs. What about eigenvalue problems?- Should there exist sta... | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | J. Dahne | null | null | null | [
{
"kind": "website",
"citation": "Computational mathematics in computer assisted proofs · Original question",
"url": "http://aimpl.org/compproofs/1/#38756a1f9b537f4591526253cd1f8e50",
"note": null,
"sort_order": 0
},
{
"kind": "website",
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... | {
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"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:00.692Z",
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} | 2026-10-10T16:07:49.246Z | {"database_id":"31955cf9-1939-4bc5-a8e4-2265abe00e8c","format_issues":null,"number":10358} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd1f9776 | problem | aim-38756a1f9b537f4591526253cd1f9776 | Make computer-assisted proofs and software more accessible to math community! | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [] | What do mathematicians find difficult about working with computer-assistance in Mathematics? How can software be improved from the view of users to ? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Computational mathematics in computer assisted proofs ",
"type": "workshop-problem-list",
"url": "http://aimpl.org/compproofs/1/#38756a1f9b537f4591526253cd1f9776",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"n... | null | null | null | not-recorded | not-recorded | null | [] | [] | Computational mathematics in computer assisted proofs · AIMPL workshop record | ## Section context
Here we collect general questions about aspects of computer-assisted proofs | 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
Follow-up comments/questions: How to standardise computer-assisted proofs. What about eigenvalue problems?- Should there exist sta... | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | J. Dahne | null | null | null | [
{
"kind": "website",
"citation": "Computational mathematics in computer assisted proofs · Original question",
"url": "http://aimpl.org/compproofs/1/#38756a1f9b537f4591526253cd1f9776",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
... | {
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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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"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:00.699Z",
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} | 2026-10-10T16:07:49.246Z | {"database_id":"39431fa4-6032-43c1-8f98-62fc9881ec55","format_issues":null,"number":10359} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd1faa3b | problem | aim-38756a1f9b537f4591526253cd1faa3b | Define Space complexity! | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [] | Does there exist a notion of space complexity? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Computational mathematics in computer assisted proofs ",
"type": "workshop-problem-list",
"url": "http://aimpl.org/compproofs/1/#38756a1f9b537f4591526253cd1faa3b",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"n... | null | null | null | not-recorded | not-recorded | null | [] | [] | Computational mathematics in computer assisted proofs · AIMPL workshop record | ## Section context
Here we collect general questions about aspects of computer-assisted proofs | 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"
] | J. Lagarias | null | null | null | [
{
"kind": "website",
"citation": "Computational mathematics in computer assisted proofs · Original question",
"url": "http://aimpl.org/compproofs/1/#38756a1f9b537f4591526253cd1faa3b",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
... | {
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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",
"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:00.704Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"959de8d6-b010-49a7-8eaf-59e037bbf06c","format_issues":null,"number":10360} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd1fecea | problem | aim-38756a1f9b537f4591526253cd1fecea | Exhibit a model for phase transitions! | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [] | Exhibit a model that has 3 phase transitions, as basis pursuit is known to have (at least) 2. For example one with a transition from polynomial to exponential time or unbounded time(arbitrary long time). | unassessed | {
"key": "aimpl",
"name": "AIMPL · Computational mathematics in computer assisted proofs ",
"type": "workshop-problem-list",
"url": "http://aimpl.org/compproofs/2/#38756a1f9b537f4591526253cd1fecea",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"n... | null | null | null | not-recorded | not-recorded | null | [] | [] | Computational mathematics in computer assisted proofs · AIMPL workshop record | ## Section context
Here we collect a list of problems collected during the workshop to which one could hope to find a concrete answer. | 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
Follow-up comment/question: "Leaning with errors" (CS theory related to phase transition) by Oded Regev. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | A. Bastounis | null | null | null | [
{
"kind": "website",
"citation": "Computational mathematics in computer assisted proofs · Original question",
"url": "http://aimpl.org/compproofs/2/#38756a1f9b537f4591526253cd1fecea",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
... | {
"source_record": "38756a1f9b537f4591526253cd1fecea",
"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": "2026-09-09T22:24:00.776Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"cff472da-5929-4ae0-b6a8-3c6b5898abdd","format_issues":null,"number":10363} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd1fefcf | problem | aim-38756a1f9b537f4591526253cd1fefcf | Smales' 9th problem. | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [] | Does there exist an algorithm for linear programming over the reals done by an algorithm that is independent of the bit-size. (in the framework of the sci-hierarchy). | unassessed | {
"key": "aimpl",
"name": "AIMPL · Computational mathematics in computer assisted proofs ",
"type": "workshop-problem-list",
"url": "http://aimpl.org/compproofs/2/#38756a1f9b537f4591526253cd1fefcf",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"n... | null | null | null | not-recorded | not-recorded | null | [] | [] | Computational mathematics in computer assisted proofs · AIMPL workshop record | ## Section context
Here we collect a list of problems collected during the workshop to which one could hope to find a concrete answer. | 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
Follow-up comment/question: This is Smale's 9th problem: Find a strongly-polynomial time algorithm which for given matrix $A$ and ... | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | J. Lagarias | null | null | null | [
{
"kind": "website",
"citation": "Computational mathematics in computer assisted proofs · Original question",
"url": "http://aimpl.org/compproofs/2/#38756a1f9b537f4591526253cd1fefcf",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
... | {
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"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",
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] | [] | {
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"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:00.782Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"de7154ac-e466-43b5-8734-88aaa8c57254","format_issues":null,"number":10364} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd1ff83d | problem | aim-38756a1f9b537f4591526253cd1ff83d | Create computer-assisted eigenvalue solver for matrices! | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [] | Given a n by n matrix, can you output the spectrum/eigenvalues to given accuracy? - In polynomial time. | unassessed | {
"key": "aimpl",
"name": "AIMPL · Computational mathematics in computer assisted proofs ",
"type": "workshop-problem-list",
"url": "http://aimpl.org/compproofs/2/#38756a1f9b537f4591526253cd1ff83d",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"n... | null | null | null | not-recorded | not-recorded | null | [] | [] | Computational mathematics in computer assisted proofs · AIMPL workshop record | ## Section context
Here we collect a list of problems collected during the workshop to which one could hope to find a concrete answer. | 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
Many of the desired features are included in the software package 'arb' | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | S. Olver | null | null | null | [
{
"kind": "website",
"citation": "Computational mathematics in computer assisted proofs · Original question",
"url": "http://aimpl.org/compproofs/2/#38756a1f9b537f4591526253cd1ff83d",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
... | {
"source_record": "38756a1f9b537f4591526253cd1ff83d",
"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": "2026-09-09T22:24:00.788Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"365ae74e-ffb8-40a2-95b7-79cb02d712a5","format_issues":null,"number":10365} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd201f7f | problem | aim-38756a1f9b537f4591526253cd201f7f | Find a dimension where the densest sphere packing is not a lattice! | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [] | Find a dimension where the densest sphere packing is not a lattice! | unassessed | {
"key": "aimpl",
"name": "AIMPL · Computational mathematics in computer assisted proofs ",
"type": "workshop-problem-list",
"url": "http://aimpl.org/compproofs/2/#38756a1f9b537f4591526253cd201f7f",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"n... | null | null | null | not-recorded | not-recorded | null | [] | [] | Computational mathematics in computer assisted proofs · AIMPL workshop record | ## Section context
Here we collect a list of problems collected during the workshop to which one could hope to find a concrete answer. | 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
Follow-up comments/questions: d=10, 11,13?. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | J. Lagarias | null | null | null | [
{
"kind": "website",
"citation": "Computational mathematics in computer assisted proofs · Original question",
"url": "http://aimpl.org/compproofs/2/#38756a1f9b537f4591526253cd201f7f",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
... | {
"source_record": "38756a1f9b537f4591526253cd201f7f",
"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": "Question formulated in the source name field; body field empty. AIM Problem Li... | 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": "2026-09-09T22:24:00.793Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"8ded8ed5-0074-4acf-b20c-ad3dd0dbd1f5","format_issues":null,"number":10366} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd202801 | problem | aim-38756a1f9b537f4591526253cd202801 | How many regular tetraheadra in $\mathbb R^3$ can touch at a single point? | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [] | How many regular tetraheadra in $\mathbb R^3$ can touch at a single point?
Follow-up comments/question: How many regular tetrahedra with side length $=1$ fit into a unit ball? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Computational mathematics in computer assisted proofs ",
"type": "workshop-problem-list",
"url": "http://aimpl.org/compproofs/2/#38756a1f9b537f4591526253cd202801",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"n... | null | null | null | not-recorded | not-recorded | null | [] | [] | Computational mathematics in computer assisted proofs · AIMPL workshop record | ## Section context
Here we collect a list of problems collected during the workshop to which one could hope to find a concrete answer. | 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"
] | J. Lagarias | null | null | null | [
{
"kind": "website",
"citation": "Computational mathematics in computer assisted proofs · Original question",
"url": "http://aimpl.org/compproofs/2/#38756a1f9b537f4591526253cd202801",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
... | {
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"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": "2026-09-09T22:24:00.799Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"96598bb9-cad3-4ce5-9ff5-e2e6aa90bfbe","format_issues":null,"number":10367} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd204f2e | problem | aim-38756a1f9b537f4591526253cd204f2e | How to use AI for computer-assisted proofs? | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [] | How to use AI for computer-assisted proofs? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Computational mathematics in computer assisted proofs ",
"type": "workshop-problem-list",
"url": "http://aimpl.org/compproofs/1/#38756a1f9b537f4591526253cd204f2e",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"n... | null | null | null | not-recorded | not-recorded | null | [] | [] | Computational mathematics in computer assisted proofs · AIMPL workshop record | ## Section context
Here we collect general questions about aspects of computer-assisted proofs | 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"
] | A. Hansen | null | null | null | [
{
"kind": "website",
"citation": "Computational mathematics in computer assisted proofs · Original question",
"url": "http://aimpl.org/compproofs/1/#38756a1f9b537f4591526253cd204f2e",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
... | {
"source_record": "38756a1f9b537f4591526253cd204f2e",
"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": "2026-09-09T22:24:00.711Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"61ebb720-d9fc-4b54-b340-c4c866d17716","format_issues":null,"number":10361} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd2063b3 | problem | aim-38756a1f9b537f4591526253cd2063b3 | Validating numerics for analysis | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [] | How can we produce rigorous numerics with an emphasis on questions arising in mathematical analysis? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Computational mathematics in computer assisted proofs ",
"type": "workshop-problem-list",
"url": "http://aimpl.org/compproofs/1/#38756a1f9b537f4591526253cd2063b3",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"n... | null | null | null | not-recorded | not-recorded | null | [] | [] | Computational mathematics in computer assisted proofs · AIMPL workshop record | ## Section context
Here we collect general questions about aspects of computer-assisted proofs | 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"
] | F. Bernhard | null | null | null | [
{
"kind": "website",
"citation": "Computational mathematics in computer assisted proofs · Original question",
"url": "http://aimpl.org/compproofs/1/#38756a1f9b537f4591526253cd2063b3",
"note": null,
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{
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... | {
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1.0.0 | problem:aim-38756a1f9b537f4591526253cd20740a | problem | aim-38756a1f9b537f4591526253cd20740a | 2D Euler equation - From graph-like interface to splash | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [] | Find a computer-assisted proof that the 2D Euler equation can develop a splash when starting from a graph-like structure. | unassessed | {
"key": "aimpl",
"name": "AIMPL · Computational mathematics in computer assisted proofs ",
"type": "workshop-problem-list",
"url": "http://aimpl.org/compproofs/2/#38756a1f9b537f4591526253cd20740a",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"n... | null | null | null | not-recorded | not-recorded | null | [] | [] | Computational mathematics in computer assisted proofs · AIMPL workshop record | ## Section context
Here we collect a list of problems collected during the workshop to which one could hope to find a concrete answer. | 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"
] | C. Fefferman | null | null | null | [
{
"kind": "website",
"citation": "Computational mathematics in computer assisted proofs · Original question",
"url": "http://aimpl.org/compproofs/2/#38756a1f9b537f4591526253cd20740a",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
... | {
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"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
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} | 2026-10-10T16:07:49.246Z | {"database_id":"8673fd8f-3638-4924-bd0d-4bfbcf112548","format_issues":null,"number":10368} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd20af46 | problem | aim-38756a1f9b537f4591526253cd20af46 | List of all question · Question 1.02 | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [
{
"code": "18",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Higher categories and topological order. http://aimpl.org/highercattopord/ Not an author-supplied MSC code."
}
] | Develop a pivotal/spherical version of extension theory as in ENO. | unassessed | {
"key": "aimpl",
"name": "AIMPL · Higher categories and topological order",
"type": "workshop-problem-list",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd20af46",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Higher categories and topological order · 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": "Higher categories and topological order · Original question",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd20af46",
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"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "ht... | {
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1.0.0 | problem:aim-38756a1f9b537f4591526253cd20ca56 | problem | aim-38756a1f9b537f4591526253cd20ca56 | List of all question · Question 1.03 | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [
{
"code": "18",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Higher categories and topological order. http://aimpl.org/highercattopord/ Not an author-supplied MSC code."
}
] | Determine Representations of motion groups of links in $S^3$. In particular, study the ones coming from Dijkgraff-Witten $(3+1)$-D TQFTs. | unassessed | {
"key": "aimpl",
"name": "AIMPL · Higher categories and topological order",
"type": "workshop-problem-list",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd20ca56",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Higher categories and topological order · 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"
] | Zhenghan Wang | null | null | null | [
{
"kind": "website",
"citation": "Higher categories and topological order · Original question",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd20ca56",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "ht... | {
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} | 2026-10-10T16:07:49.246Z | {"database_id":"72f2da90-cf12-4ef9-b0f1-a82be6b847f1","format_issues":null,"number":10870} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd20d8e6 | problem | aim-38756a1f9b537f4591526253cd20d8e6 | List of all question · Question 1.04 | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [
{
"code": "18",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Higher categories and topological order. http://aimpl.org/highercattopord/ Not an author-supplied MSC code."
}
] | If $\mathcal{Z}(\mathcal{C})\cong \mathcal{Z}(\mathcal{D})$ and $\mathcal{C},\mathcal{D}$ and they both admit a fiber functor, are they Morita equivalent? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Higher categories and topological order",
"type": "workshop-problem-list",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd20d8e6",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Higher categories and topological order · 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"
] | Theo Johnson-Freyd | null | null | null | [
{
"kind": "website",
"citation": "Higher categories and topological order · Original question",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd20d8e6",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "ht... | {
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"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
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] | [] | {
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} | 2026-10-10T16:07:49.246Z | {"database_id":"a7a8b1a4-90e0-4e29-914f-1a40b07809d8","format_issues":null,"number":10871} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd20e08a | problem | aim-38756a1f9b537f4591526253cd20e08a | List of all question · Question 1.05 | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [
{
"code": "18",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Higher categories and topological order. http://aimpl.org/highercattopord/ Not an author-supplied MSC code."
}
] | Do generalized spins in $2$-categories need to be rational? This a 2-category version of Vafa's theorem. | unassessed | {
"key": "aimpl",
"name": "AIMPL · Higher categories and topological order",
"type": "workshop-problem-list",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd20e08a",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Higher categories and topological order · 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": "Higher categories and topological order · Original question",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd20e08a",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "ht... | {
"source_record": "38756a1f9b537f4591526253cd20e08a",
"imported_at": "2026-09-10",
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} | 2026-10-10T16:07:49.246Z | {"database_id":"31921bf6-d41b-45db-9508-c4a8eec65a9e","format_issues":null,"number":10872} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd2104a7 | problem | aim-38756a1f9b537f4591526253cd2104a7 | List of all question · Question 1.01 | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [
{
"code": "18",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Higher categories and topological order. http://aimpl.org/highercattopord/ Not an author-supplied MSC code."
}
] | For condensable algebras $A_1,A_2, \ldots, A_k \in \mathcal{C}$, sequentially condense in the following order
$$
\mathcal{C}^{loc}_{A_1}\; |\mathcal{C}| \; \mathcal{C}^{loc}_{A_2} \;| \mathcal{C}|\; \ldots\; |\mathcal{C}^{loc}_{A_k}\; | \mathcal{C}| \; \mathcal{C}^{loc}_{A_{k-1}}\;|\mathcal{C}| \;\ldots |\mathcal... | unassessed | {
"key": "aimpl",
"name": "AIMPL · Higher categories and topological order",
"type": "workshop-problem-list",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd2104a7",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Higher categories and topological order · 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"
] | Dominic Williamson | null | null | null | [
{
"kind": "website",
"citation": "Higher categories and topological order · Original question",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd2104a7",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "ht... | {
"source_record": "38756a1f9b537f4591526253cd2104a7",
"imported_at": "2026-09-10",
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"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
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} | 2026-10-10T16:07:49.246Z | {"database_id":"df74920a-6a86-4183-95e9-07d34a198cea","format_issues":null,"number":10873} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd211293 | problem | aim-38756a1f9b537f4591526253cd211293 | List of all question · Question 1.06 | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [
{
"code": "18",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Higher categories and topological order. http://aimpl.org/highercattopord/ Not an author-supplied MSC code."
}
] | Suppose we have two BFCs $\mathcal{B},\mathcal{C} \subseteq \mathcal{M}$ with $\mathcal{M}$ modular such that $\mathcal{B},\mathcal{C}$ centralize each other. Then what is the Witt class of $\mathcal{M}$? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Higher categories and topological order",
"type": "workshop-problem-list",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd211293",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Higher categories and topological order · 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"
] | Zhenghan Wang | null | null | null | [
{
"kind": "website",
"citation": "Higher categories and topological order · Original question",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd211293",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "ht... | {
"source_record": "38756a1f9b537f4591526253cd211293",
"imported_at": "2026-09-10",
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"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
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"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:06.133Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"3bdc833a-f192-40ed-8673-56823168ae5c","format_issues":null,"number":10874} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd211548 | problem | aim-38756a1f9b537f4591526253cd211548 | List of all question · Question 1.07 | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [
{
"code": "18",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Higher categories and topological order. http://aimpl.org/highercattopord/ Not an author-supplied MSC code."
}
] | What is the correct definition of the $2$-center of categories so that the following statement holds: $\mathcal{Z}(\mathcal{C}) \cong \mathcal{Z}(\mathcal{B})$ if and only if $\mathcal{C}, \mathcal{B}$ are Morita equivalent). | unassessed | {
"key": "aimpl",
"name": "AIMPL · Higher categories and topological order",
"type": "workshop-problem-list",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd211548",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Higher categories and topological order · 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"
] | Corey Jones / Zhenghan Wang | null | null | null | [
{
"kind": "website",
"citation": "Higher categories and topological order · Original question",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd211548",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "ht... | {
"source_record": "38756a1f9b537f4591526253cd211548",
"imported_at": "2026-09-10",
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"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
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} | 2026-10-10T16:07:49.246Z | {"database_id":"f7dacad9-1198-4307-ac32-ac7086b4513f","format_issues":null,"number":10875} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd212467 | problem | aim-38756a1f9b537f4591526253cd212467 | List of all question · Question 1.08 | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [
{
"code": "18",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Higher categories and topological order. http://aimpl.org/highercattopord/ Not an author-supplied MSC code."
}
] | What are the braided --- categories so that invertibles correspond to cobordisms? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Higher categories and topological order",
"type": "workshop-problem-list",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd212467",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Higher categories and topological order · 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 Reutter | null | null | null | [
{
"kind": "website",
"citation": "Higher categories and topological order · Original question",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd212467",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "ht... | {
"source_record": "38756a1f9b537f4591526253cd212467",
"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": "2026-09-09T22:24:06.144Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"910db484-4cb2-4e38-8325-1e695aaeadff","format_issues":null,"number":10876} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd212bb3 | problem | aim-38756a1f9b537f4591526253cd212bb3 | List of all question · Question 1.09 | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [
{
"code": "18",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Higher categories and topological order. http://aimpl.org/highercattopord/ Not an author-supplied MSC code."
}
] | Find a short algebraic definition of a tetracategory (preferably, something less than 10 pages long). Current known definition can be found in 'Spans in 2-categories: A monoidal tricategory' by Hoffnung. | unassessed | {
"key": "aimpl",
"name": "AIMPL · Higher categories and topological order",
"type": "workshop-problem-list",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd212bb3",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Higher categories and topological order · 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"
] | Zhenghan Wang | null | null | null | [
{
"kind": "website",
"citation": "Higher categories and topological order · Original question",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd212bb3",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "ht... | {
"source_record": "38756a1f9b537f4591526253cd212bb3",
"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": "2026-09-09T22:24:06.150Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"7e368484-f414-419c-83b2-ee30d1e81804","format_issues":null,"number":10877} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd215e76 | problem | aim-38756a1f9b537f4591526253cd215e76 | List of all question · Question 1.1 | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [
{
"code": "18",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Higher categories and topological order. http://aimpl.org/highercattopord/ Not an author-supplied MSC code."
}
] | Develop an axiomatic theory of Fractons. | unassessed | {
"key": "aimpl",
"name": "AIMPL · Higher categories and topological order",
"type": "workshop-problem-list",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd215e76",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Higher categories and topological order · 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"
] | Corey Jones | null | null | null | [
{
"kind": "website",
"citation": "Higher categories and topological order · Original question",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd215e76",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "ht... | {
"source_record": "38756a1f9b537f4591526253cd215e76",
"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": "2026-09-09T22:24:06.158Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"c011861d-570f-438c-bdac-9a1649f84902","format_issues":null,"number":10878} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd2169fe | problem | aim-38756a1f9b537f4591526253cd2169fe | List of all question · Question 1.11 | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [
{
"code": "18",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Higher categories and topological order. http://aimpl.org/highercattopord/ Not an author-supplied MSC code."
}
] | Classify fracton models constructed from $1$-foliated topological defect networks. | unassessed | {
"key": "aimpl",
"name": "AIMPL · Higher categories and topological order",
"type": "workshop-problem-list",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd2169fe",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Higher categories and topological order · 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"
] | Dominic Williamson | null | null | null | [
{
"kind": "website",
"citation": "Higher categories and topological order · Original question",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd2169fe",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "ht... | {
"source_record": "38756a1f9b537f4591526253cd2169fe",
"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": "2026-09-09T22:24:06.163Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"439dc9f3-880a-44a3-bbcb-00e4f14c9b8d","format_issues":null,"number":10879} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd217864 | problem | aim-38756a1f9b537f4591526253cd217864 | List of all question · Question 1.12 | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [
{
"code": "18",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Higher categories and topological order. http://aimpl.org/highercattopord/ Not an author-supplied MSC code."
}
] | Is there a notion of Symmetry Protected Topological (SPT) phases protected by fusion categorical symmetry? Perhaps, they can be built using the cohomology groups of classifying spaces of the associated Brauer-Picard groupoids. | unassessed | {
"key": "aimpl",
"name": "AIMPL · Higher categories and topological order",
"type": "workshop-problem-list",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd217864",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Higher categories and topological order · 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": "Higher categories and topological order · Original question",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd217864",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "ht... | {
"source_record": "38756a1f9b537f4591526253cd217864",
"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": "2026-09-09T22:24:06.168Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"57e24f1e-5c19-4e3a-9f60-af7dcd6cc477","format_issues":null,"number":10880} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd21861a | problem | aim-38756a1f9b537f4591526253cd21861a | List of all question · Question 1.13 | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [
{
"code": "18",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Higher categories and topological order. http://aimpl.org/highercattopord/ Not an author-supplied MSC code."
}
] | Compute examples of fusion $2$-categories with fiber functors. | unassessed | {
"key": "aimpl",
"name": "AIMPL · Higher categories and topological order",
"type": "workshop-problem-list",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd21861a",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Higher categories and topological order · 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"
] | Ryan Thorngren | null | null | null | [
{
"kind": "website",
"citation": "Higher categories and topological order · Original question",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd21861a",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "ht... | {
"source_record": "38756a1f9b537f4591526253cd21861a",
"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": "2026-09-09T22:24:06.174Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"4f014c99-3d4a-4e8e-8e9f-a38f2bfcd0a6","format_issues":null,"number":10881} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd218aac | problem | aim-38756a1f9b537f4591526253cd218aac | List of all question · Question 1.14 | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [
{
"code": "18",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Higher categories and topological order. http://aimpl.org/highercattopord/ Not an author-supplied MSC code."
}
] | Understand fiber $2$-functors $F$ of a fusion $2$-category and understand boundary anomalies. | unassessed | {
"key": "aimpl",
"name": "AIMPL · Higher categories and topological order",
"type": "workshop-problem-list",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd218aac",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Higher categories and topological order · 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.
## Status note in the source
Work of Kang-Lan-Wen does this for (super) groups. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Ryan Thorngren | null | null | null | [
{
"kind": "website",
"citation": "Higher categories and topological order · Original question",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd218aac",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "ht... | {
"source_record": "38756a1f9b537f4591526253cd218aac",
"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": "2026-09-09T22:24:06.179Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"671932e5-3b96-4696-b597-7d501ed072b8","format_issues":null,"number":10882} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd2198e0 | problem | aim-38756a1f9b537f4591526253cd2198e0 | List of all question · Question 1.15 | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [
{
"code": "18",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Higher categories and topological order. http://aimpl.org/highercattopord/ Not an author-supplied MSC code."
}
] | Study representations of motion groups of links in $S^3$. For example, study the ones coming from Dijkgraff-Witten $(3+1)$-D TQFTs. | unassessed | {
"key": "aimpl",
"name": "AIMPL · Higher categories and topological order",
"type": "workshop-problem-list",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd2198e0",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Higher categories and topological order · 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"
] | Zhenghan Wang | null | null | null | [
{
"kind": "website",
"citation": "Higher categories and topological order · Original question",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd2198e0",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "ht... | {
"source_record": "38756a1f9b537f4591526253cd2198e0",
"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": "2026-09-09T22:24:06.184Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"60b11058-0984-448a-a7c2-865f9e04721d","format_issues":null,"number":10883} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd21bc2d | problem | aim-38756a1f9b537f4591526253cd21bc2d | List of all question · Question 1.16 | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [
{
"code": "18",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Higher categories and topological order. http://aimpl.org/highercattopord/ Not an author-supplied MSC code."
}
] | Define and study $G$-crossed Braided Fusion categories (BFC) with anti-unitary $G$-action. | unassessed | {
"key": "aimpl",
"name": "AIMPL · Higher categories and topological order",
"type": "workshop-problem-list",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd21bc2d",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Higher categories and topological order · 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"
] | Maissam Barkeshli | null | null | null | [
{
"kind": "website",
"citation": "Higher categories and topological order · Original question",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd21bc2d",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "ht... | {
"source_record": "38756a1f9b537f4591526253cd21bc2d",
"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": "2026-09-09T22:24:06.190Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"2255cee6-e3b4-4a10-9152-9918236422e2","format_issues":null,"number":10884} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd21c192 | problem | aim-38756a1f9b537f4591526253cd21c192 | List of all question · Question 1.17 | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [
{
"code": "18",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Higher categories and topological order. http://aimpl.org/highercattopord/ Not an author-supplied MSC code."
}
] | In $(3+1)$D there is an $O(5)$ obstruction to the full $G$-crossed theory. Calculate it systematically. This can be rephrased as: calculate the $G$-extension theory of a braided fusion $2$-category. | unassessed | {
"key": "aimpl",
"name": "AIMPL · Higher categories and topological order",
"type": "workshop-problem-list",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd21c192",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Higher categories and topological order · 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"
] | Maissam Barkeshli | null | null | null | [
{
"kind": "website",
"citation": "Higher categories and topological order · Original question",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd21c192",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "ht... | {
"source_record": "38756a1f9b537f4591526253cd21c192",
"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"
] | [] | {
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1.0.0 | problem:aim-38756a1f9b537f4591526253cd21dec7 | problem | aim-38756a1f9b537f4591526253cd21dec7 | List of all question · Question 1.18 | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [
{
"code": "18",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Higher categories and topological order. http://aimpl.org/highercattopord/ Not an author-supplied MSC code."
}
] | Find the eigenspace decomposition of the Hilbert space for the golden chain Hamiltonian. Are the eigenspaces $1$-dimensional. | unassessed | {
"key": "aimpl",
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"type": "workshop-problem-list",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd21dec7",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Higher categories and topological order · 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"
] | Zhenghan Wang | null | null | null | [
{
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{
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1.0.0 | problem:aim-38756a1f9b537f4591526253cd21e5f6 | problem | aim-38756a1f9b537f4591526253cd21e5f6 | List of all question · Question 1.19 | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [
{
"code": "18",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Higher categories and topological order. http://aimpl.org/highercattopord/ Not an author-supplied MSC code."
}
] | Where to look for counterexamples to the conjecture that: a pseudounitary category is unitary. For a pseudounitary category the quantum dimensions of all objects are positive. | unassessed | {
"key": "aimpl",
"name": "AIMPL · Higher categories and topological order",
"type": "workshop-problem-list",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd21e5f6",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Higher categories and topological order · 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"
] | Corey Jones | null | null | null | [
{
"kind": "website",
"citation": "Higher categories and topological order · Original question",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd21e5f6",
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{
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} | 2026-10-10T16:07:49.246Z | {"database_id":"fbb66393-49f1-4a74-9368-dc20967ed95a","format_issues":null,"number":10887} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd21e775 | problem | aim-38756a1f9b537f4591526253cd21e775 | List of all question · Question 1.2 | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [
{
"code": "18",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Higher categories and topological order. http://aimpl.org/highercattopord/ Not an author-supplied MSC code."
}
] | Do all fusion categories admit a Hermitian structure (a $\dagger$-structure which is positive) ? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Higher categories and topological order",
"type": "workshop-problem-list",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd21e775",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Higher categories and topological order · 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 Reutter | null | null | null | [
{
"kind": "website",
"citation": "Higher categories and topological order · Original question",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd21e775",
"note": null,
"sort_order": 0
},
{
"kind": "website",
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"url": "ht... | {
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} | 2026-10-10T16:07:49.246Z | {"database_id":"715210f1-d094-458b-a0a5-941eaeb476e2","format_issues":null,"number":10888} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd21ef93 | problem | aim-38756a1f9b537f4591526253cd21ef93 | List of all question · Question 1.21 | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [
{
"code": "18",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Higher categories and topological order. http://aimpl.org/highercattopord/ Not an author-supplied MSC code."
}
] | If a fusion category admits a Hermitian structure, is it unique? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Higher categories and topological order",
"type": "workshop-problem-list",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd21ef93",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Higher categories and topological order · 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"
] | Dave Penneys | null | null | null | [
{
"kind": "website",
"citation": "Higher categories and topological order · Original question",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd21ef93",
"note": null,
"sort_order": 0
},
{
"kind": "website",
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"url": "ht... | {
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} | 2026-10-10T16:07:49.246Z | {"database_id":"5513bff9-8452-4e7e-8544-9e26c9780d99","format_issues":null,"number":10889} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd21f8c0 | problem | aim-38756a1f9b537f4591526253cd21f8c0 | List of all question · Question 1.22 | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [
{
"code": "18",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Higher categories and topological order. http://aimpl.org/highercattopord/ Not an author-supplied MSC code."
}
] | Given two $(3+1)$D SPTs $\mathcal{A},\mathcal{B}$ with the same group $G$ and an $\mathcal{A}$-$\mathcal{B}$ bimodule category $\mathcal{M}$ representing the boundary between them, construct a $G$-crossed braided fusion category using it. If we gauge both the SPTs, what happens to the domain wall/boundary/bimodule ? | unassessed | {
"key": "aimpl",
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"type": "workshop-problem-list",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd21f8c0",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Higher categories and topological order · 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"
] | Kyle Kawagoe | null | null | null | [
{
"kind": "website",
"citation": "Higher categories and topological order · Original question",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd21f8c0",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "ht... | {
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"published_at": "2026-09-09T22:24:06.223Z",
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} | 2026-10-10T16:07:49.246Z | {"database_id":"5608a97b-8e7c-404a-96b8-5e6ee01f0c9e","format_issues":null,"number":10890} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd22033e | problem | aim-38756a1f9b537f4591526253cd22033e | List of all question · Question 1.23 | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [
{
"code": "18",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Higher categories and topological order. http://aimpl.org/highercattopord/ Not an author-supplied MSC code."
}
] | Do QCAs form $\Omega$ spectrum? Are the first four levels the same as the spectrum of modular tensor categories? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Higher categories and topological order",
"type": "workshop-problem-list",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd22033e",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Higher categories and topological order · 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"
] | Ryan Thorngren, David Reutter | null | null | null | [
{
"kind": "website",
"citation": "Higher categories and topological order · Original question",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd22033e",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "ht... | {
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"published_at": "2026-09-09T22:24:06.228Z",
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} | 2026-10-10T16:07:49.246Z | {"database_id":"6102d6cd-dced-4360-872e-ce2dfbd85bd7","format_issues":null,"number":10891} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd221036 | problem | aim-38756a1f9b537f4591526253cd221036 | List of all question · Question 1.24 | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [
{
"code": "18",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Higher categories and topological order. http://aimpl.org/highercattopord/ Not an author-supplied MSC code."
}
] | Starting with a trivial TQFT, what is the minimum number of abelian extensions that one can do to get reach some given TQFT? | unassessed | {
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"name": "AIMPL · Higher categories and topological order",
"type": "workshop-problem-list",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd221036",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Higher categories and topological order · 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"
] | Nathanan Tantivasadakarn and Zhenghan Wang | null | null | null | [
{
"kind": "website",
"citation": "Higher categories and topological order · Original question",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd221036",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "ht... | {
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"published_at": "2026-09-09T22:24:06.233Z",
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} | 2026-10-10T16:07:49.246Z | {"database_id":"6bf73911-77df-4826-b34e-45c6f0a3a8e2","format_issues":null,"number":10892} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd221fbf | problem | aim-38756a1f9b537f4591526253cd221fbf | List of all question · Question 1.25 | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [
{
"code": "18",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Higher categories and topological order. http://aimpl.org/highercattopord/ Not an author-supplied MSC code."
}
] | How are QCAs module {finite depth Quantum circuits} related to Witt group of Modular Tensor Categories. | unassessed | {
"key": "aimpl",
"name": "AIMPL · Higher categories and topological order",
"type": "workshop-problem-list",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd221fbf",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Higher categories and topological order · 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"
] | Corey Jones | null | null | null | [
{
"kind": "website",
"citation": "Higher categories and topological order · Original question",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd221fbf",
"note": null,
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},
{
"kind": "website",
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"url": "ht... | {
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} | 2026-10-10T16:07:49.246Z | {"database_id":"0f480c8d-9146-4787-aa54-4f65a7af0c2b","format_issues":null,"number":10893} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd2228bd | problem | aim-38756a1f9b537f4591526253cd2228bd | List of all question · Question 1.26 | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [
{
"code": "18",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Higher categories and topological order. http://aimpl.org/highercattopord/ Not an author-supplied MSC code."
}
] | Are $(3+1)$D Quantum Cellular Automata (QCA) coming from $(3+1)$D TQFT states beyond cobordisms? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Higher categories and topological order",
"type": "workshop-problem-list",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd2228bd",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Higher categories and topological order · 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"
] | Nathanan Tantivasadakarn | null | null | null | [
{
"kind": "website",
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{
"kind": "website",
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"url": "ht... | {
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} | 2026-10-10T16:07:49.246Z | {"database_id":"47432b0f-17dd-4e6d-af27-6e53897d2dfc","format_issues":null,"number":10894} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd223491 | problem | aim-38756a1f9b537f4591526253cd223491 | List of all question · Question 1.27 | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [
{
"code": "18",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Higher categories and topological order. http://aimpl.org/highercattopord/ Not an author-supplied MSC code."
}
] | How to define the skeleton of fusion $2$-categories and their bimodules? What is the generalization of $6j$-symbols? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Higher categories and topological order",
"type": "workshop-problem-list",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd223491",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Higher categories and topological order · 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"
] | Dave Penneys | null | null | null | [
{
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{
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"url": "ht... | {
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} | 2026-10-10T16:07:49.246Z | {"database_id":"b0f8b684-04c7-4c47-a066-d39d20e1b5a0","format_issues":null,"number":10895} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd223fd8 | problem | aim-38756a1f9b537f4591526253cd223fd8 | List of all question · Question 1.28 | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [
{
"code": "18",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Higher categories and topological order. http://aimpl.org/highercattopord/ Not an author-supplied MSC code."
}
] | Reconstruction theory for fusion $2$-categories. | unassessed | {
"key": "aimpl",
"name": "AIMPL · Higher categories and topological order",
"type": "workshop-problem-list",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd223fd8",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Higher categories and topological order · 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"
] | Colleen Delaney | null | null | null | [
{
"kind": "website",
"citation": "Higher categories and topological order · Original question",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd223fd8",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "ht... | {
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"published_at": "2026-09-09T22:24:06.254Z",
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} | 2026-10-10T16:07:49.246Z | {"database_id":"54bbafaa-39ca-4ed9-a814-bfeba5c95e88","format_issues":null,"number":10896} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd2242c0 | problem | aim-38756a1f9b537f4591526253cd2242c0 | List of all question · Question 1.29 | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [
{
"code": "18",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Higher categories and topological order. http://aimpl.org/highercattopord/ Not an author-supplied MSC code."
}
] | If there is a BFC that has order $2$ in the Witt group, does it admit a time-reversal symmetry ? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Higher categories and topological order",
"type": "workshop-problem-list",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd2242c0",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Higher categories and topological order · 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": "Higher categories and topological order · Original question",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd2242c0",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "ht... | {
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"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:06.260Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"0dc55bb4-6d8b-4a0c-b54e-badcf2f8edfd","format_issues":null,"number":10897} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd224b94 | problem | aim-38756a1f9b537f4591526253cd224b94 | List of all question · Question 1.3 | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [
{
"code": "18",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Higher categories and topological order. http://aimpl.org/highercattopord/ Not an author-supplied MSC code."
}
] | Do fusion $2$-categories exhibit some version of Ocneanu rigidity? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Higher categories and topological order",
"type": "workshop-problem-list",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd224b94",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Higher categories and topological order · 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"
] | Colleen Delaney | null | null | null | [
{
"kind": "website",
"citation": "Higher categories and topological order · Original question",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd224b94",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "ht... | {
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"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:06.265Z",
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} | 2026-10-10T16:07:49.246Z | {"database_id":"89e197df-0126-4503-aaf5-0a6ef3c2ab47","format_issues":null,"number":10898} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd225331 | problem | aim-38756a1f9b537f4591526253cd225331 | List of all question · Question 1.31 | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [
{
"code": "18",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Higher categories and topological order. http://aimpl.org/highercattopord/ Not an author-supplied MSC code."
}
] | Can we always introduce gapped boundary for the $2$D commuting Hamiltonian? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Higher categories and topological order",
"type": "workshop-problem-list",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd225331",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Higher categories and topological order · 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"
] | Jeongwan Haah | null | null | null | [
{
"kind": "website",
"citation": "Higher categories and topological order · Original question",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd225331",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "ht... | {
"source_record": "38756a1f9b537f4591526253cd225331",
"imported_at": "2026-09-10",
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"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
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"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:06.270Z",
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} | 2026-10-10T16:07:49.246Z | {"database_id":"c9a42634-636e-438a-a950-21eedccb0375","format_issues":null,"number":10899} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd225376 | problem | aim-38756a1f9b537f4591526253cd225376 | List of all question · Question 1.34 | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [
{
"code": "18",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Higher categories and topological order. http://aimpl.org/highercattopord/ Not an author-supplied MSC code."
}
] | Construct fermionic $2$-categories. In other words, construct enriched fusion $2$-categories. | unassessed | {
"key": "aimpl",
"name": "AIMPL · Higher categories and topological order",
"type": "workshop-problem-list",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd225376",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Higher categories and topological order · 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"
] | Anuj Apte | null | null | null | [
{
"kind": "website",
"citation": "Higher categories and topological order · Original question",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd225376",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "ht... | {
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"published_at": "2026-09-09T22:24:06.275Z",
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} | 2026-10-10T16:07:49.246Z | {"database_id":"20f9a33d-5ad1-4b1a-bf69-b387dd3ea431","format_issues":null,"number":10900} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd2262d0 | problem | aim-38756a1f9b537f4591526253cd2262d0 | List of all question · Question 1.32 | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [
{
"code": "18",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Higher categories and topological order. http://aimpl.org/highercattopord/ Not an author-supplied MSC code."
}
] | Is factorization of MTCs unique if there are no invertible objects? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Higher categories and topological order",
"type": "workshop-problem-list",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd2262d0",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Higher categories and topological order · 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.
## Status note in the source
Yes! This is known | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Zhenghan Wang | null | null | null | [
{
"kind": "website",
"citation": "Higher categories and topological order · Original question",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd2262d0",
"note": null,
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{
"kind": "website",
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"url": "ht... | {
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} | 2026-10-10T16:07:49.246Z | {"database_id":"11681ffb-a44b-421e-9cbe-d079d9c403c2","format_issues":null,"number":10901} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd2271a6 | problem | aim-38756a1f9b537f4591526253cd2271a6 | List of all question · Question 1.36 | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [
{
"code": "18",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Higher categories and topological order. http://aimpl.org/highercattopord/ Not an author-supplied MSC code."
}
] | Is it possible to detect the trivial Witt Class from the S and T matrices? (In other words, can we tell if a nondegenrate braided fusion category is a Drinfeld center just by looking at the $S$-matrix.) | unassessed | {
"key": "aimpl",
"name": "AIMPL · Higher categories and topological order",
"type": "workshop-problem-list",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd2271a6",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Higher categories and topological order · 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"
] | Eric Rowell | null | null | null | [
{
"kind": "website",
"citation": "Higher categories and topological order · Original question",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd2271a6",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "ht... | {
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"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:06.286Z",
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} | 2026-10-10T16:07:49.246Z | {"database_id":"a91ae3dc-f756-4a63-a86b-a7536048adc2","format_issues":null,"number":10902} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd227b87 | problem | aim-38756a1f9b537f4591526253cd227b87 | List of all question · Question 1.33 | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [
{
"code": "18",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Higher categories and topological order. http://aimpl.org/highercattopord/ Not an author-supplied MSC code."
}
] | Are there non-trivial links that can be created by only local operators from the vacuum and if so what topology can we get? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Higher categories and topological order",
"type": "workshop-problem-list",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd227b87",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Higher categories and topological order · 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"
] | Kyle Kawagoe | null | null | null | [
{
"kind": "website",
"citation": "Higher categories and topological order · Original question",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd227b87",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "ht... | {
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"note": "Original numbered question. AIM Problem Lists (AIMPL), original contributors; ... | null | [
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} | 2026-10-10T16:07:49.246Z | {"database_id":"a9cbe6d7-ecb4-47e0-8c1a-26322b1af33e","format_issues":null,"number":10903} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd228821 | problem | aim-38756a1f9b537f4591526253cd228821 | List of all question · Question 1.38 | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [
{
"code": "18",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Higher categories and topological order. http://aimpl.org/highercattopord/ Not an author-supplied MSC code."
}
] | What is the homotopy type of the space of braided tensor categories? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Higher categories and topological order",
"type": "workshop-problem-list",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd228821",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Higher categories and topological order · 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 Reutter | null | null | null | [
{
"kind": "website",
"citation": "Higher categories and topological order · Original question",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd228821",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "ht... | {
"source_record": "38756a1f9b537f4591526253cd228821",
"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": "2026-09-09T22:24:06.300Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"b3ac1622-114e-4d16-afb7-0216abee7142","format_issues":null,"number":10904} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd228b4c | problem | aim-38756a1f9b537f4591526253cd228b4c | List of all question · Question 1.41 | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [
{
"code": "18",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Higher categories and topological order. http://aimpl.org/highercattopord/ Not an author-supplied MSC code."
}
] | Understand the topology of the classes of Topological Phases of Matter (TPMs). | unassessed | {
"key": "aimpl",
"name": "AIMPL · Higher categories and topological order",
"type": "workshop-problem-list",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd228b4c",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Higher categories and topological order · 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"
] | Kyle Kawagoe | null | null | null | [
{
"kind": "website",
"citation": "Higher categories and topological order · Original question",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd228b4c",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "ht... | {
"source_record": "38756a1f9b537f4591526253cd228b4c",
"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": "2026-09-09T22:24:06.306Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"01332fec-fa79-41ca-b4bf-edc888ac65b7","format_issues":null,"number":10905} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd229a1f | problem | aim-38756a1f9b537f4591526253cd229a1f | List of all question · Question 1.35 | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [
{
"code": "18",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Higher categories and topological order. http://aimpl.org/highercattopord/ Not an author-supplied MSC code."
}
] | What is the proper notion of a higher tube category? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Higher categories and topological order",
"type": "workshop-problem-list",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd229a1f",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Higher categories and topological order · 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"
] | Jacob Bridgeman | null | null | null | [
{
"kind": "website",
"citation": "Higher categories and topological order · Original question",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd229a1f",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "ht... | {
"source_record": "38756a1f9b537f4591526253cd229a1f",
"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": "2026-09-09T22:24:06.312Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"0a9a7d11-aade-4f33-9c36-d39f6e6964f0","format_issues":null,"number":10906} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd22a967 | problem | aim-38756a1f9b537f4591526253cd22a967 | List of all question · Question 1.43 | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [
{
"code": "18",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Higher categories and topological order. http://aimpl.org/highercattopord/ Not an author-supplied MSC code."
}
] | For Rep($SU(2)$), construct module categories over it. Study its Morita dual and the associated data. | unassessed | {
"key": "aimpl",
"name": "AIMPL · Higher categories and topological order",
"type": "workshop-problem-list",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd22a967",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Higher categories and topological order · 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"
] | Laurens Lootens | null | null | null | [
{
"kind": "website",
"citation": "Higher categories and topological order · Original question",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd22a967",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "ht... | {
"source_record": "38756a1f9b537f4591526253cd22a967",
"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": "2026-09-09T22:24:06.317Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"dbe46fb3-767f-48ee-bee3-4e92c2f9929c","format_issues":null,"number":10907} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd22acda | problem | aim-38756a1f9b537f4591526253cd22acda | List of all question · Question 1.37 | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [
{
"code": "18",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Higher categories and topological order. http://aimpl.org/highercattopord/ Not an author-supplied MSC code."
}
] | Given a MTC $\mathcal{C}$ and a condensable algebra $A$, how can one describe the $A$-action on $\mathcal{C}^{loc}_A$? Describe a cohomological theory of it. | unassessed | {
"key": "aimpl",
"name": "AIMPL · Higher categories and topological order",
"type": "workshop-problem-list",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd22acda",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Higher categories and topological order · 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"
] | Zhenghan Wang | null | null | null | [
{
"kind": "website",
"citation": "Higher categories and topological order · Original question",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd22acda",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "ht... | {
"source_record": "38756a1f9b537f4591526253cd22acda",
"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": "2026-09-09T22:24:06.323Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"e875d407-0649-4887-b393-dbd7ef5ecbae","format_issues":null,"number":10908} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd22bb77 | problem | aim-38756a1f9b537f4591526253cd22bb77 | List of all question · Question 1.44 | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [
{
"code": "18",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Higher categories and topological order. http://aimpl.org/highercattopord/ Not an author-supplied MSC code."
}
] | Provide a classification of Lagrangian submodules of a module with an anti-Hermitian form (over a commutative ring). | unassessed | {
"key": "aimpl",
"name": "AIMPL · Higher categories and topological order",
"type": "workshop-problem-list",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd22bb77",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Higher categories and topological order · 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"
] | Jeongwan Haah | null | null | null | [
{
"kind": "website",
"citation": "Higher categories and topological order · Original question",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd22bb77",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "ht... | {
"source_record": "38756a1f9b537f4591526253cd22bb77",
"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": "2026-09-09T22:24:06.329Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"48244822-b421-4a86-a4f6-7c06bb003de2","format_issues":null,"number":10909} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd22c0e9 | problem | aim-38756a1f9b537f4591526253cd22c0e9 | List of all question · Question 1.39 | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [
{
"code": "18",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Higher categories and topological order. http://aimpl.org/highercattopord/ Not an author-supplied MSC code."
}
] | What is the diagrammatic interpretation of Gauss sums for $\mathcal{C}$? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Higher categories and topological order",
"type": "workshop-problem-list",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd22c0e9",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Higher categories and topological order · 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 Reutter | null | null | null | [
{
"kind": "website",
"citation": "Higher categories and topological order · Original question",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd22c0e9",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "ht... | {
"source_record": "38756a1f9b537f4591526253cd22c0e9",
"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": "2026-09-09T22:24:06.334Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"70061470-ea1e-4c65-bae0-6acd8c7306c0","format_issues":null,"number":10910} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd22caf5 | problem | aim-38756a1f9b537f4591526253cd22caf5 | List of all question · Question 1.47 | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [
{
"code": "18",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Higher categories and topological order. http://aimpl.org/highercattopord/ Not an author-supplied MSC code."
}
] | Interpret $(3+1)$D SETs using $G$-crossed $2$-categories. | unassessed | {
"key": "aimpl",
"name": "AIMPL · Higher categories and topological order",
"type": "workshop-problem-list",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd22caf5",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Higher categories and topological order · 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.
## Status note in the source
Hint: a definition of such a category exists in work of Jones-Penneys-Reutter. | null | published | incremental | hard | [
"aim",
"historical-workshop"
] | Yu-An Chen | null | null | null | [
{
"kind": "website",
"citation": "Higher categories and topological order · Original question",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd22caf5",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "ht... | {
"source_record": "38756a1f9b537f4591526253cd22caf5",
"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": "2026-09-09T22:24:06.339Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"0184964c-c9ea-4d8a-8084-2aaca9b9fc17","format_issues":null,"number":10911} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd22cb86 | problem | aim-38756a1f9b537f4591526253cd22cb86 | List of all question · Question 1.48 | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [
{
"code": "18",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Higher categories and topological order. http://aimpl.org/highercattopord/ Not an author-supplied MSC code."
}
] | Find an example of an exact algebra that is not separable. | unassessed | {
"key": "aimpl",
"name": "AIMPL · Higher categories and topological order",
"type": "workshop-problem-list",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd22cb86",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Higher categories and topological order · 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 Reutter | null | null | null | [
{
"kind": "website",
"citation": "Higher categories and topological order · Original question",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd22cb86",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "ht... | {
"source_record": "38756a1f9b537f4591526253cd22cb86",
"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": "2026-09-09T22:24:06.344Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"13f2b6e0-2b44-481b-8b1c-6d9b013fbb0f","format_issues":null,"number":10912} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd22d697 | problem | aim-38756a1f9b537f4591526253cd22d697 | List of all question · Question 1.4 | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [
{
"code": "18",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Higher categories and topological order. http://aimpl.org/highercattopord/ Not an author-supplied MSC code."
}
] | Develop pivotal/spherical version of ENO extension theory. | unassessed | {
"key": "aimpl",
"name": "AIMPL · Higher categories and topological order",
"type": "workshop-problem-list",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd22d697",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Higher categories and topological order · 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"
] | Corey Jones | null | null | null | [
{
"kind": "website",
"citation": "Higher categories and topological order · Original question",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd22d697",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "ht... | {
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"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": "2026-09-09T22:24:06.349Z",
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} | 2026-10-10T16:07:49.246Z | {"database_id":"903bce0c-688d-4748-9b3f-a04e02827830","format_issues":null,"number":10913} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd22e0fc | problem | aim-38756a1f9b537f4591526253cd22e0fc | List of all question · Question 1.49 | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [
{
"code": "18",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Higher categories and topological order. http://aimpl.org/highercattopord/ Not an author-supplied MSC code."
}
] | Provide an intrinsic characterization of exact algebras in tensor categories. | unassessed | {
"key": "aimpl",
"name": "AIMPL · Higher categories and topological order",
"type": "workshop-problem-list",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd22e0fc",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Higher categories and topological order · 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 Jaklitsch | null | null | null | [
{
"kind": "website",
"citation": "Higher categories and topological order · Original question",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd22e0fc",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "ht... | {
"source_record": "38756a1f9b537f4591526253cd22e0fc",
"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",
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] | [] | {
"created_at": "2026-09-09T22:23:49.983Z",
"updated_at": "2026-09-09T22:23:49.983Z",
"published_at": "2026-09-09T22:24:06.354Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"bc27e579-0c3d-437f-9131-e8eaf5eff44e","format_issues":null,"number":10914} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd22e917 | problem | aim-38756a1f9b537f4591526253cd22e917 | List of all question · Question 1.5 | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [
{
"code": "18",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Higher categories and topological order. http://aimpl.org/highercattopord/ Not an author-supplied MSC code."
}
] | Condense out everything below middle dimension excitations in TQFTs. Then, what is left? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Higher categories and topological order",
"type": "workshop-problem-list",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd22e917",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Higher categories and topological order · 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"
] | Dominic Williamson | null | null | null | [
{
"kind": "website",
"citation": "Higher categories and topological order · Original question",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd22e917",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "ht... | {
"source_record": "38756a1f9b537f4591526253cd22e917",
"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": "2026-09-09T22:24:06.360Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"5b24580d-befb-4c04-a434-ef35d7ec1390","format_issues":null,"number":10915} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd22f746 | problem | aim-38756a1f9b537f4591526253cd22f746 | List of all question · Question 1.42 | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [
{
"code": "18",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Higher categories and topological order. http://aimpl.org/highercattopord/ Not an author-supplied MSC code."
}
] | Develop extension theory for rings (in place of groups). There is motivation to investigate this problem from the study of Haagerup fusion categories. | unassessed | {
"key": "aimpl",
"name": "AIMPL · Higher categories and topological order",
"type": "workshop-problem-list",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd22f746",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Higher categories and topological order · 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"
] | Noah Snyder and Jacob Bridgeman | null | null | null | [
{
"kind": "website",
"citation": "Higher categories and topological order · Original question",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd22f746",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "ht... | {
"source_record": "38756a1f9b537f4591526253cd22f746",
"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": "2026-09-09T22:24:06.366Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"31017236-0dce-443d-8645-7f8053f4802b","format_issues":null,"number":10916} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd22f94b | problem | aim-38756a1f9b537f4591526253cd22f94b | List of all question · Question 1.53 | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [
{
"code": "18",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Higher categories and topological order. http://aimpl.org/highercattopord/ Not an author-supplied MSC code."
}
] | Look at Gauss' proof on positivity of Gauss sums ($\sum_{k=0}^{p-1} e^{2\pi i k^2/p} $). Is there a TQFT interpretation for this positivity? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Higher categories and topological order",
"type": "workshop-problem-list",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd22f94b",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Higher categories and topological order · 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"
] | Noah Snyder | null | null | null | [
{
"kind": "website",
"citation": "Higher categories and topological order · Original question",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd22f94b",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "ht... | {
"source_record": "38756a1f9b537f4591526253cd22f94b",
"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": "2026-09-09T22:24:06.372Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"a075a1c5-db6f-450e-8b31-ea9869c91195","format_issues":null,"number":10917} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd22faf7 | problem | aim-38756a1f9b537f4591526253cd22faf7 | List of all question · Question 1.52 | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [
{
"code": "18",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Higher categories and topological order. http://aimpl.org/highercattopord/ Not an author-supplied MSC code."
}
] | Give anomaly/TQFT/bordism interpretation of Gauss sums. | unassessed | {
"key": "aimpl",
"name": "AIMPL · Higher categories and topological order",
"type": "workshop-problem-list",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd22faf7",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Higher categories and topological order · 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 Reutter | null | null | null | [
{
"kind": "website",
"citation": "Higher categories and topological order · Original question",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd22faf7",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "ht... | {
"source_record": "38756a1f9b537f4591526253cd22faf7",
"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": "2026-09-09T22:24:06.378Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"f9cf0d8e-c3cb-49b5-821f-d732fa613feb","format_issues":null,"number":10918} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd23096a | problem | aim-38756a1f9b537f4591526253cd23096a | List of all question · Question 1.51 | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [
{
"code": "18",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Higher categories and topological order. http://aimpl.org/highercattopord/ Not an author-supplied MSC code."
}
] | Can you find graph planar algebra embeddings for known near-group categories in small dimensions and spot a pattern? | unassessed | {
"key": "aimpl",
"name": "AIMPL · Higher categories and topological order",
"type": "workshop-problem-list",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd23096a",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Higher categories and topological order · 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"
] | Cain Edie- Michell | null | null | null | [
{
"kind": "website",
"citation": "Higher categories and topological order · Original question",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd23096a",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "ht... | {
"source_record": "38756a1f9b537f4591526253cd23096a",
"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": "2026-09-09T22:24:06.383Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"07ccfce2-44e1-448d-b529-6667aaf5c298","format_issues":null,"number":10919} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd231edf | problem | aim-38756a1f9b537f4591526253cd231edf | List of all question · Question 1.46 | {
"main": "math",
"sub": "mathematics general",
"slug": "mathematics-general",
"name": "Mathematics · general",
"original_discipline": "mathematics"
} | [] | [
{
"code": "18",
"basis": "source-map",
"evidence": "Editorial mapping of AIMPL list topic: Higher categories and topological order. http://aimpl.org/highercattopord/ Not an author-supplied MSC code."
}
] | Construct a $(p,\mathbf{Z}_p)$ near group fusion category. These are categories generated by two objects $\{\mathbf{1},X\}$ with $X$ invertible and the fusion rule is $X\otimes X= \oplus_{g\in \mathbf{Z}_p} g \oplus pX$ for infinitely many $p$'s. | unassessed | {
"key": "aimpl",
"name": "AIMPL · Higher categories and topological order",
"type": "workshop-problem-list",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd231edf",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": "Pr... | null | null | null | not-recorded | not-recorded | null | [] | [] | Higher categories and topological order · 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"
] | Dave Penneys | null | null | null | [
{
"kind": "website",
"citation": "Higher categories and topological order · Original question",
"url": "http://aimpl.org/highercattopord/1/#38756a1f9b537f4591526253cd231edf",
"note": null,
"sort_order": 0
},
{
"kind": "website",
"citation": "AIMPL source bibliography",
"url": "ht... | {
"source_record": "38756a1f9b537f4591526253cd231edf",
"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": "2026-09-09T22:24:06.388Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"9e8c9b33-76ea-4d2e-b1d7-cb0b79ececc4","format_issues":null,"number":10920} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd248fa2 | problem | aim-38756a1f9b537f4591526253cd248fa2 | The motivic filtration on the algebraic $K$-theory of the sphere spectrum | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [] | Can one understand the motivic filtration (or motivic spectral sequence) on the $\mathrm{TC}$ of the sphere spectrum? What about for the motivic filtration on related invariants such as $\mathrm{THH}$, $\mathrm{TP}$? | unassessed | {
"key": "aimpl",
"name": "AIM · Equivariant techniques in stable homotopy theory",
"type": "workshop-problem-list",
"url": "http://aimpl.org/equivstable/2/#38756a1f9b537f4591526253cd248fa2",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": ... | null | null | null | not-recorded | not-recorded | null | [] | [] | Equivariant techniques in stable homotopy theory · Historical workshop question | ## Question context
Due to work of Rognes, Blumberg--Mandell, and others, we understand the algebraic K-theory of the sphere spectrum fairly well. Recent work of Hahn--Raksit--Wilson \cite{arXiv:2206.11208} gives a motivic filtration on TC of $\mathbb{E}_{\infty}$-rings which is closely related to the motivic filtrati... | 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"
] | Jeremy Hahn | null | null | null | [
{
"kind": "website",
"citation": "Equivariant techniques in stable homotopy theory",
"url": "http://aimpl.org/equivstable/2/",
"note": null,
"sort_order": 0
}
] | {
"source_record": "38756a1f9b537f4591526253cd248fa2",
"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": "2026-09-08T03:33:15.379Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"3b2667a0-2335-41d5-a399-ba2704f1da08","format_issues":null,"number":8582} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd24a2d2 | problem | aim-38756a1f9b537f4591526253cd24a2d2 | The $K$-theory of Johnson--Wilson theory | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [] | Compute something about $\mathrm{TC}$ (and related invariants such as $\mathrm{TP}, \mathrm{THH}$) of $\tau_{\geq0}E'(n)$, where $E'(n)$ is the $2$-periodic Johnson--Wilson theory. | unassessed | {
"key": "aimpl",
"name": "AIM · Equivariant techniques in stable homotopy theory",
"type": "workshop-problem-list",
"url": "http://aimpl.org/equivstable/2/#38756a1f9b537f4591526253cd24a2d2",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": ... | null | null | null | not-recorded | not-recorded | null | [] | [] | Equivariant techniques in stable homotopy theory · Historical workshop question | ## Question context
The algebraic $K$-theory of Johnson--Wilson theory $E(n)$ is closely related to the topological cyclic homology of the connective cover of the two periodic Johnson--Wilson theory $E'(n)$. | 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"
] | Ishan Levy | null | null | null | [
{
"kind": "website",
"citation": "Equivariant techniques in stable homotopy theory",
"url": "http://aimpl.org/equivstable/2/",
"note": null,
"sort_order": 0
}
] | {
"source_record": "38756a1f9b537f4591526253cd24a2d2",
"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": "2026-09-08T03:33:15.383Z",
"solved_at": null
} | 2026-10-10T16:07:49.246Z | {"database_id":"7d4846e2-3faf-44bd-b8c6-b8229e237f17","format_issues":null,"number":8583} |
1.0.0 | problem:aim-38756a1f9b537f4591526253cd24b69c | problem | aim-38756a1f9b537f4591526253cd24b69c | Detecting Greek letter families in algebraic $K$-theory | {
"main": "math",
"sub": "geometry and topology",
"slug": "geometry-and-topology",
"name": "Geometry and topology",
"original_discipline": "mathematics"
} | [] | [] | Prove Conjecture 1.1 of \cite{arXiv:1810.10088}. This is a version of redshift for the Greek letter family in the homotopy groups of spheres: it asks that the $K$-theory of an $\mathbb{E}_{\infty}$-ring detecting the $\alpha^{(n)}$-family detects the $\alpha^{(n+1)}$-family. | unassessed | {
"key": "aimpl",
"name": "AIM · Equivariant techniques in stable homotopy theory",
"type": "workshop-problem-list",
"url": "http://aimpl.org/equivstable/2/#38756a1f9b537f4591526253cd24b69c",
"citation": null,
"doi": null,
"arxiv_id": null,
"license": "Editorially moderated; per-list terms",
"notes": ... | null | null | null | not-recorded | not-recorded | null | [] | [] | Equivariant techniques in stable homotopy theory · 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"
] | Maxwell Johnson | null | null | null | [
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"note": "Original numbered AIM workshop question. Section context and source status notes are retained where available. Retrieval date does... | null | [
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"updated_at": "2026-09-08T03:32:15.935Z",
"published_at": "2026-09-08T03:33:15.388Z",
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} | 2026-10-10T16:07:49.246Z | {"database_id":"b0eecc14-9939-463c-888e-7315010c4d74","format_issues":null,"number":8584} |
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