PIRSA:20110040

Homological mirror symmetry for the universal centralizers

Jin, X. (2020). Homological mirror symmetry for the universal centralizers. Perimeter Institute. https://pirsa.org/20110040

Jin, Xin. Homological mirror symmetry for the universal centralizers. Perimeter Institute, Nov. 05, 2020, https://pirsa.org/20110040 

          @misc{ pirsa_PIRSA:20110040,
            doi = {10.48660/20110040},
            url = {https://pirsa.org/20110040},
            author = {Jin, Xin},
            keywords = {Mathematical physics},
            language = {en},
            title = {Homological mirror symmetry for the universal centralizers},
            publisher = {Perimeter Institute},
            year = {2020},
            month = {nov},
            note = {PIRSA:20110040 see, \url{https://pirsa.org}}
          }

Xin Jin

Boston College

Talk number
PIRSA:20110040
Collection
Talk Type
Subject
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).