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BIMSA Integrable Systems Seminar
Quantum integrable model for the quantum cohomology/K-theory of flag varieties and the double β-Grothendieck polynomials
Quantum integrable model for the quantum cohomology/K-theory of flag varieties and the double β-Grothendieck polynomials
Organizers
Speaker
Jirui Guo
Time
Tuesday, March 25, 2025 4:00 PM - 5:00 PM
Venue
A6-101
Online
Zoom 873 9209 0711
(BIMSA)
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.