Geometric Representation Theory Seminar

Wednesday, May 13, 2020 at 3:00pm

Virtual Event

Featured SpeakerRoman Gonin (HSE/Skoltech/MIT)

Title :  Twisted Fock module of quantum toroidal gl_1

Abstract

The Fock module is a basic representation of the quantum toroidal algebra; it can be identified with the equivariant K-theory of Hilbert schemes of points on C^2. We study a twisted Fock module, which is the same vector space, but the action is "twisted" by a certain automorphism of the algebra. Surprisingly, an attempt "to make this action explicit" leads to an appearance of an auxiliary quantum affine gl_n action on (twisted) Fock space. I will explain our purely algebraic construction and formulate a conjectural application to geometry (the conjecture of Gorsky and Negut on K-theoretic stable bases).

Zoom link: https://mit.zoom.us/j/96553931513

Event Type

Conferences/Seminars/Lectures

Events By Interest

Academic

Events By Audience

Public

Events By School

School of Science

Department
Department of Mathematics
Hashtag

#PDEAnalysisSeminar

Contact Email

ksieradz@mit.edu

Add to my calendar

Recent Activity