Abstract: In this talk I will explain how 3d mirror symmetry predicts an equivalence between 2-categories associated to dual pairs of hyperkahler quotients. The first 2-category is of an algebro-geometric flavor and was described by Kapustin/Rozansky/Saulina. The second category depends on symplectic topology and has a conjectural description in terms of the 3d generalized Seiberg-Witten equations. Both of these 2-categories are expected to categorify category O for symplectic resolutions in the sense of Braden/Licata/Proudfoot/Webster. I will also explain joint work with Ben Gammage and Aaron Mazel-Gee on proving 3d mirror symmetry for hypertoric varieties. This is a sequel to the work Ben Gammage described in his talk earlier this semester.
 
 virtual (zoom): Virtual: http://berkeley.zoom.us/j/93328405860?pwd=Um1GbHBCSUJMdUlWWnd0ZVMxQmwwdz09