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)