Title: Generalized cluster structures and periodic difference operators (slides)

Speaker: Misha Gekhtman (Notre Dame)

Time: 14:45-15:20 (GMT+0), 2021.08.03

Abstract:

I will present a construction that ties together several diverse notions including spaces of periodic difference operators, Poisson submanifolds of a Drinfeld double of GL(n) and subsets of Grassmannians stable under the action of powers of a cyclic shift. The theory of generalized cluster algebras serves as a unifying theme. Time permitting, I will discuss potential applications to representation theory of quantum affine algebras at roots of unity.

Based on a joint work with M. Shapiro and A. Vainshtein and an ongoing project with C. Fraser and K. Trampel.