A Schur-Weyl duality between Double Affine Hecke Algebras and quantum groups

Abstract

Schur-Weyl duality is often used to relate type A Lie groups (or quantum groups) to symmetric groups (or Hecke algebras). In this talk, I will use ribbon calculus and skein modules to describe an instance of this Schur-Weyl duality between representations of the type A quantum group at roots of unity and representations of the Double Affine Hecke Algebra. This is based on joint work with A. Chandler, A. Mellit and C. Novarini.

Date
Apr 25, 2022
Location
IHP - Paris
France
Avatar
Léa Bittmann
Research Associate