Homological mirror symmetry in the realm of representation theory

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.