Return to Colloquia & Seminar listing
Gibbs measures for the stochastic five-vertex model and limits of Grothendieck polynomials
Algebra & Discrete Mathematics| Speaker: | Sergei Korotkikh, UC Berkeley |
| Location: | 2112 MSB |
| Start time: | Mon, Mar 2 2026, 11:00AM |
Description
Representation theory of unitary groups U(N) is well-known and their irreducible characters are given by the celebrated Schur polynomials. What happens with these characters when you send N to infinity? This problem was extensively studied long time ago and is closely related to two other questions: how to classify the Gibbs measures for Gelfand-Tsetlin patterns and what are the possible limits of normalized Schur polynomials as the partition size goes to infinity. In this talk we will talk about our recent generalization of this problem, where Schur polynomials are replaced by Grothendieck polynomials and the Gelfand-Tsetlien patterns are replaced by the stochastic five-vertex model.