Perverse Sheaves in Deformation Quantization

Explore the intricate world of deformation quantization in this advanced mathematics lecture by Pavel Safronov from the University of Edinburgh. Delve into the canonical category of deformation quantization modules arising from holomorphic symplectic manifolds. Learn how holomorphic Lagrangians with spin structures define objects within this category. Discover the method for describing the RHom perverse sheaf of two such DQ modules using the derived geometry of Lagrangian intersections. Examine a related result that describes the perverse sheaf in BV quantization of a (-1)-shifted symplectic scheme. This talk, part of the M-Seminar series at Kansas State University, presents joint work with Sam Gunningham and offers a deep dive into cutting-edge research in algebraic geometry and mathematical physics.