Finite Quivers from Weinstein Manifolds
演讲者
Dogancan Karabas
时间
2025年12月25日 16:30 至 17:30
摘要
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.