Speaker: Pavel Safronov

Abstract: Given a holomorphic symplectic manifold, there is a canonical category of deformation quantization modules. Holomorphic Lagrangians equipped with spin structures define objects in this category. I will explain how one can describe the RHom perverse sheaf of two such DQ modules in terms of the derived geometry of the Lagrangian intersection. I will also explain a related result describing the perverse sheaf appearing in BV quantization of a (-1)-shifted symplectic scheme. This is a report on work joint with Sam Gunningham.