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Homological mirror symmetry for the universal centralizers



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Recording Details

Speaker(s): 
Xin Jin
Scientific Areas: 
Mathematical Physics
Collection/Series: 
Mathematical Physics
PIRSA Number: 
20110040

Abstract

I will present recent work (to appear soon) on the homological mirror symmetry about the universal centralizers $J_G$, for any complex semisimple Lie group $G$. The A-side is a partially wrapped Fukaya category of $J_G$, and the B-side is the category of coherent sheaves on the categorical quotient of a dual maximal torus by the Weyl group action (with some modification if $G$ has a nontrivial center).