Finite Quivers from Weinstein Manifolds

Time：Thursday, 16:30-17:30 Dec. 25, 2025

Venue：B725, Shuangqing Complex Building

Organizer：Kenji Fukaya(Tsinghua), Honghao Gao(Tsinghua), Hang Yuan(BIMSA)

Speaker：Dogancan Karabas

Tsinghua-BIMSA symplectic geometry seminar

Organizer：

Kenji Fukaya(Tsinghua), Honghao Gao(Tsinghua), Hang Yuan(BIMSA)

Speaker：

Dogancan Karabas

Temple University Japan Campus

Time：

Thursday, 16:30-17:30

Dec. 25, 2025

Venue：

B725, Shuangqing Complex Building

Title：

Finite Quivers from Weinstein Manifolds

Abstract:

Kontsevich conjectured that the wrapped Fukaya category of any finite-type (Wein)stein manifold is Morita equivalent to a dg algebra of finite type, that is, the path algebra of a finite graded quiver with differential. I will outline a proof in three steps: (1) a local-to-global gluing description of Fukaya categories via Ganatra-Pardon-Shende, (2) a local model for Weinstein manifolds using arboreal singularities, whose Fukaya categories are finite-type by work of Nadler, and (3) a cofibration category structure on the category of dg categories, developed with Sangjin Lee and myself, which ensures that gluing preserves finite-typeness.

DATEDecember 24, 2025

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