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SUMMARY:Justin Hilburn
DTSTART:20220322T150000Z
DTEND:20220322T160000Z
DTSTAMP:20260423T021309Z
UID:Freemath/77
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Freemath/77/
 ">Perverse Schobers and 2-Categorical 3d Mirror Symmetry</a>\nby Justin Hi
 lburn as part of Free Mathematics Seminar\n\n\nAbstract\n3d mirror symmetr
 y predicts an equivalence between 2-categories associated to dual holomorp
 hic symplectic stacks. The first 2-category is of an algebro-geometric fla
 vor and has constructions due to Kapustin/Rozansky/Saulina and Arinkin. Th
 e second category depends on symplectic topology and has a conjectural des
 cription in terms of the 3d generalized Seiberg-Witten equations (also kno
 wn as the gauged Fueter equations). \n\nIn this talk I will describe joint
  work with Ben Gammage and Aaron Mazel-Gee proving a variant of 3d mirror 
 symmetry for Gale dual toric cotangent stacks. In particular\, we define a
  combinatorial model for the symplectic 2-category using equivariant perve
 rse schobers. If time permits I will explain work in progress extending ou
 r equivalence from toric cotangent stacks to hypertoric varieties. This wi
 ll provide a categorification of previous results on Koszul duality for hy
 pertoric categories O.\n
LOCATION:https://researchseminars.org/talk/Freemath/77/
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