Videos

Quantum geometric Satake at a root of unity and Schubert calculus for G(m,m,n)

Presenter
March 22, 2021
Abstract
There is a q-deformation of the reflection representation of the affine Weyl group in type A which leads to a q-deformation of many common constructions: Demazure operators, Soergel bimodules, geometric Satake, etcetera. When q is set to a root of unity, the action of the affine Weyl group factors through a finite quotient, the complex reflection group G(m,m,n), and a new kind of "Schubert calculus" appears. This talk will demonstrate this unusual construction in the well-understood case of affine A_1 and the mysterious case of affine A_2.
Supplementary Materials