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Appears in collection : Combinatorics and Arithmetic for Physics: special days 2023

We present dualities in the theory of Macdonald/Koornwinder polynomials in a unified way. Macdonald theory has a natural formulation in terms of the spherical Double Affine Hecke Algebra on a torus. We show that duality extends to the genus two Macdonald theory recently introduced by Arthamonov and Shakirov. (Joint work with R. Kedem)

Information about the video

  • Date of recording 16/11/2023
  • Date of publication 22/11/2023
  • Institution IHES
  • Language English
  • Audience Researchers
  • Format MP4

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