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Local geometric Langlands correspondence and Lie superalgebras

By Alexander Braverman

In this talk, I am going to present certain conjectures (due to D. Gaiotto) which provide explicit examples of quantum local geometric Langlands duality for the group GL(n)\times GL(m). These conjectures lead to some interesting equivalences of categories involving representation theory of the Lie superalgebra GL(m|n). I will present some evidence for these conjectures and discuss proofs in some special cases.

Information about the video

  • Date of recording 1/15/19
  • Date of publication 1/28/19
  • Institution IHES
  • Format MP4

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