SPECIAL MIT Infinite Dimensional Algebra Seminar

Friday, December 03, 2021 at 10:00am to 12:00pm

Building 2, 2-135
182 MEMORIAL DR, Cambridge, MA 02139

Speaker: Michela Varagnolo (Université de Cergy-Pontoise)

Title: K theoretic Hall algebras and coherent categorification of quantum groups

Abstract: I will explain an isomorphism between the positive half o a quantum toroidal group and the K-theoretic Hall algebra of a preprojective algebra of affine type. There is an analogue result in the finite type case. For type $A_1$ this allows to propose a coherent categorification of the quantum affine $sl(2)$. Surprisingly it may be computed using KLR algebras. The talk is based on two joint works, one with E. Vasserot, the other with P. Shan and E. Vasserot.

Event Type

Conferences/Seminars/Lectures

Events By Interest

Academic

Events By Audience

Public

Events By School

School of Science

Tags

prob_sem, aldixon

Website

https://math.mit.edu/seminars/infdim

Department
Department of Mathematics
Hashtag

#Mathematics

Contact Email

aldixon@mit.edu

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