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Math-Physics Joint Seminar

Tuesday, October 25, 2022 - 3:30pm

Vivek Shende

Center for Quantum Mathematics, Southern Denmark University


University of Pennsylvania


I will explain how to define a t-structure on the wrapped Fukaya category of a complex conic symplectic manifold, whose heart is the global sections of a perverse sheaf of categories on the core of the symplectic manifold.  Here, a perverse sheaf of a categories is just a sheaf of categories whose hom sheaves are (shifted) perverse.  I will also show that the subcategory of objects with bounded microstalks (morally, the part of the wrapped Fukaya category coming from compact Lagrangians) admits Bridgeland stability conditions compatible with this t-structure.