Quantum integrable model for the quantum cohomology/K-theory of flag varieties and the double β-Grothendieck polynomials

Abstract: The $GL(N)$ asymmetric five vertex model is a quantum integrable system that generalizes the spin-1/2 five vertex model. In this talk, I will explain why the Bethe ansatz equations of this model encode the ring relations of the equivariant quantum cohomology and $K$-theory ring of flag varieties, and how the Bethe ansatz states generate the double β-Grothendieck polynomials.

mathematical physicsdynamical systemsquantum algebrarepresentation theorysymplectic geometry

Audience: general audience

BIMSA Integrable Systems Seminar

Series comments: The aim is to bring together experts in integrable systems and related areas of theoretical and mathematical physics and mathematics. There will be research presentations and overview talks.

Audience: Graduate students and researchers interested in integrable systems and related mathematical structures, such as symplectic and Poisson geometry and representation theory.

The zoom link will be distributed by mail, so please join the mailing list if you are interested in attending the seminar.