PIRSA:22060093 Conference Mathematical physics

DOI10.48660/22060093

Conference/School: QFT for Mathematicians 2022

Braverman, A. (2022). Lie superalgebras and S-duality. Perimeter Institute. https://pirsa.org/22060093

Braverman, Alexander. Lie superalgebras and S-duality. Perimeter Institute, Jun. 30, 2022, https://pirsa.org/22060093 

@misc{ pirsa_PIRSA:22060093,
  doi = {10.48660/22060093},
  url = {https://pirsa.org/22060093},
  author = {Braverman, Alexander},
  keywords = {Mathematical physics},
  language = {en},
  title = {Lie superalgebras and S-duality},
  publisher = {Perimeter Institute},
  year = {2022},
  month = {jun},
  note = {PIRSA:22060093 see, \url{https://pirsa.org}}
}

Abstract

We present a series of (partly proven) conjectures
describing geometric realizations of
categories of (finite-dimensional) representations of quantum
super-groups U_q(g) corresponding
to Lie super-algebras g with reductive even part and a non-degenerate
invariant form.
We shall also discuss the meaning of these conjectures from the point
of view of local geometric Langlands correspondence as well as a
connection to the work of Ben-Zvi, Sakellaridis and Venkatesh.
Based on joint works with M.Finkelberg, V.Ginzburg and R.Travkin as
well as the work of R.Travkin and R.Yang.

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