15–17 nov. 2023
Le Bois-Marie
Fuseau horaire Europe/Paris

Macdonald Dualities in Genus One and Two

16 nov. 2023, 15:30
45m
Centre de conférences Marilyn et James Simons (Le Bois-Marie)

Centre de conférences Marilyn et James Simons

Le Bois-Marie

35, route de Chartres 91440 Bures-sur-Yvette

Orateur

Prof. Philippe Di Francesco (UIUC)

Description

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)

Documents de présentation