糖果派对

Speaker: Benjamin Gammage (Harvard University) 

Abstract:
The 3d mirror symmetry program seeks to relate symplectic and algebraic invariants of dual pairs of holomorphic symplectic spaces, often arising as conical symplectic resolutions. The philosophy of 3d TQFT suggests that this duality should originate as an equivalence of 2-categories of boundary conditions. We propose that these can be understood as respective 2-categories of perverse and coherent sheaves of categories. We explain some cases when this equivalence can be precisely stated and proven, and discuss some applications, including to the relative Langlands program of Ben-Zvi--Sakellaridis--Venkatesh. This is based on continuing work with Justin Hilburn, including some prior work together with Aaron Mazel-Gee.