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SUMMARY:Ben Gammage (Harvard University)
DTSTART:20211014T185000Z
DTEND:20211014T195000Z
DTSTAMP:20260423T041501Z
UID:GPRTatNU/37
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GPRTatNU/37/
 ">Abelian 3d mirror symmetry</a>\nby Ben Gammage (Harvard University) as p
 art of Geometry\, Physics\, and Representation Theory Seminar\n\n\nAbstrac
 t\n3d mirror symmetry is a proposed physical duality relating a pair of 3d
  N=4 field theories. Various mathematical shadows of this result have been
  studied\, but ultimately (after a topological twisting)\, 3dMS should ent
 ail an equivalence between a pair of 2-categories associated to the algebr
 aic (respectively\, symplectic) geometry of a pair of holomorphic symplect
 ic stacks. In general\, the definitions of these 2-categories are not know
 n\, but in this talk we explain how one can define the relevant 2-categori
 es and construct an equivalence between them in the case where the spaces 
 involved are linear quotients by a torus. Potential applications include a
  Betti geometric version of Tate's thesis and a recovery of earlier result
 s on Koszul duality for hypertoric categories O. This is joint work with J
 ustin Hilburn and Aaron Mazel-Gee.\n
LOCATION:https://researchseminars.org/talk/GPRTatNU/37/
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