PIRSA:20110040 Scientific Series Mathematical physics

DOI10.48660/20110040

Series: Mathematical Physics

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}}
}

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).

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