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Geometric representation theory of double affine Hecke algebra

By Satoshi Nawata

I will talk about physics approach to understand representation theory of double affine Hecke algebra (DAHA). DAHA can be realized as an algebra of line operators in 4d N=2* theory and therefore it appears as quantization of coordinate ring of Hitchin moduli space over once-punctured torus. Using 2d A-model on the Hitchin moduli space, I will explain relationship between representation category of DAHA and Fukaya category of the Hitchin moduli space.

Information about the video

  • Date of recording 1/16/19
  • Date of publication 1/28/19
  • Institution IHES
  • Format MP4

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