BIMSA > GRASP seminar Deformation quantization and perverse sheaves
Deformation quantization and perverse sheaves
Organizers
Pengfei Huang , Tao Su , Hao Sun
Speaker
Sam Gunningham
Time
Wednesday, March 13, 2024 10:00 AM - 11:00 AM
Venue
A3-2-303
Online
Zoom 518 868 7656 (BIMSA)
Abstract
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.