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2-categorical 3d mirror symmetry

CMSA EVENTS: CMSA ALGEBRAIC GEOMETRY IN STRING THEORY SEMINAR

When: March 15, 2022
9:30 am - 10:30 am
Where: Virtually
Speaker: Benjamin Gammage - Harvard University

It is by now well-known that mirror symmetry may be expressed as an equivalence between categories associated to dual Kahler manifolds. Following a proposal of Teleman, we inaugurate a program to understand 3d mirror symmetry as an equivalence between 2-categories associated to dual holomorphic symplectic stacks. We consider here the abelian case, where our theorem expresses the 2-category of spherical functors as a 2-category of coherent sheaves of categories. Applications include categorifications of hypertoric category O and of many related constructions in representation theory. This is joint work with Justin Hilburn and Aaron Mazel-Gee.


For information on how to join, please see:  https://cmsa.fas.harvard.edu/seminars-and-colloquium/