Math & Stats Colloquium: Friday, March 25 @ 3:30 PM (CST) on Zoom

Posted on 2022-03-17 in News, Events
Mar 25, 2022



The Colloquium Committee cordially invites you to attend the next talk in the 2021-22 Math & Stats Colloquium series:

Date/Time: Friday, March 25 @ 3:30 PM CST

Speaker: David Hernandez, Université de Paris

Title: Categories of representations, spectra of quantum integrable systems and Coulomb branches

Abstract: The structure of the eigenvalues of a quantum system, that is of its spectrum, is crucial to its study. The spectrum of the "ice model" (six vertex model) was computed in the seminal work of Baxter. It has a remarkable form involving polynomials and the famous Baxter relations. Later, it was conjectured that there is an analog form for the spectrum of more general quantum integrable systems. We will discuss how, using the modern mathematical point of view of representation theory, these (Baxter) polynomials occur in a natural way. Besides, Baxter relations can be categorified using relevant categories of representations of quantum groups. This leads to a proof of the general conjecture (joint results with Jimbo and with Frenkel). We will also discuss other recent applications for the representation theory of truncated quantum groups (quantized Coulomb branches), in the framework of symplectic duality (3d mirror symmetry).

Please contact colloquium@math.usask.ca for the Zoom link.

Back to News Listing

Related Articles

Annual Recite Pi Contest!

Posted on 2024-02-13

2024 Recite Pi Contest




Congratulations to Yaindrila Barua, an MSc candidate in our Department, who successfully defended her thesis!

Posted on 2024-01-24

Congratulations Yaindrila Barua, defended her thesis


Mathematics and Statistics Colloquium

Posted on 2024-01-03

Dense clusters in hypergraphs