Homological mirror symmetry in the realm of representation theory

Mon Oct 24, 2022 4:30 p.m.—5:30 p.m.
Exterior of Sheffield-Sterling-Strathcona Hall featuring a stone carving of Yale's coat of arms and motto

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Seminar: 
Geometry, Symmetry and Physics

Event time: 
Monday, October 24, 2022 - 4:30pm

Location: 
LOM214

Speaker: 
Xin Jin

Speaker affiliation: 
Boston College

Event description: 
I will present recent results about Homological mirror symmetry (HMS) of algebraic symplectic varieties coming from representation theory. The first is about HMS of the universal centralizer of a complex reductive group G. The second, which is a joint work with Yun, is about HMS of a moduli space of Higgs bundles on P^1 with certain automorphic data. The latter variety is closely related to the first one as it is a symplectic compactification of the former. No prior knowledge about HMS is required.