Combinatorics and Arithmetic for Physics: special days 2023

Collection Combinatorics and Arithmetic for Physics: special days 2023

Organizer(s) Gérard H. E. DUCHAMP, Maxim KONTSEVICH, Gleb KOSHEVOY, Sergei NECHAEV and Karol A. PENSON

Date(s) 15/11/2023 - 17/11/2023

linked URL https://www-lipn.univ-paris13.fr/~duchamp/Conferences/CAP10_2023.html

00:00:00 / 00:00:00

16 27

Macdonald dualities in genus one and two

By Philippe Di Francesco

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

Domain(s)

Mathematical Physics

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