Deformation quantization and perverse sheaves
组织者
黄鹏飞
,
苏桃
, 孙浩
演讲者
Sam Gunningham
时间
2024年03月13日 10:00 至 11:00
地点
A3-2-303
线上
Zoom 518 868 7656
(BIMSA)
摘要
Given a holomorphic symplectic manifold and a pair of oriented holomorphic lagrangian submanifolds, the lagrangian intersection carries a canonical perverse sheaf known as the DT sheaf. On the other hand, the theory of deformation quantization provides another, seemingly quite different, construction of a perverse sheaf. I will explain some recent results with Pavel Safronov in which we identify these two constructions, shedding new light on Joyce's conjectural description of the holomorphic Fukaya category. Time permitting, I will outline a potential application of these results, in which we related the skein module of a 3-manifold to the sheaf-theoretic Floer homology of Abouzaid and Manolescu.