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OP-10192Status unassessedGeometry and topology

Categorical calculations · Question 3.2

Arborealization of singularities of Lagrangian skeleta · AIMPL workshop record

MSC 53D · Symplectic geometry, contact geometry

Editorial mapping of AIMPL list topic: Arborealization of singularities of Lagrangian skeleta. http://aimpl.org/arborlagrange/ Not an author-supplied MSC code.

Workshop record · status unassessedAs of 2026-09-10 source snapshot; not a current-status certificationSource & evidence ↓
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Problem statement

Provide general constructions and explanations describing these sort of relations between skeleta of 4- and 6-dimensional Weinstein manifolds.

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Background

Workshop introduction

This page is intended to collect the problems arising from the AIM workshop, "Arborealization of singularities of Lagrangian skeleta."

Section context

For applications to mirror symmetry and representation theory, we are interested in better understanding the category of microlocal sheaves along an arboreal Lagrangian, both in specific cases of interest and in the abstract.

Question context

There are some interactions between the geometry of certain nn- and (n+2)(n+2)-dimensional Weinstein manifolds, whose study is motivated for instance by mirror symmetry or the theory of cluster algebras. This is especially interesting in the case n=4.n=4.

Progress & source assessment

Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.

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References
  1. [1]Arborealization of singularities of Lagrangian skeleta · Original question link
  2. [2]AIMPL source bibliography link
  3. [3]AIMPL text license · CC BY-SA 3.0 linkAIM Problem Lists (AIMPL), original contributors; CC BY-SA 3.0. Adaptation: structural TeX converted to Markdown, documented source macros expanded, and source bibliography links added. Mathematical wording retained. These adapted source texts remain under CC BY-SA 3.0.

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Discussion

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