Duality theorems for current algebras
Organizers
Speaker
Time
Friday, April 7, 2023 5:00 PM - 6:30 PM
Venue
Online
Abstract
We study some natural representations of current Lie algebras $g\otimes \Bbbk[t]$, called Weyl modules. They are natural analogues of irreducible representations of simple Lie algebras. There are several current analogues of classical theorems about Lie algebras where these modules «play role» of irreducible modules. In my talk I will explain analogues of duality theorems, namely Peter-Weyl theorem, Schur-Weyl duality etc.
Speaker Intro
Ievgen Makedonskyi obtained a PhD degree in mathematics from the Russian University of Advanced Economic Research and then worked at the Russian University of Advanced Economic Research, the Max Planck Institute of Mathematics, the University of Tokyo, Skolkovo University of Science and Technology, and Jena University in Germany. In 2022, he joined the Yanqi Lake Beijing Institute of Mathematical Sciences and Applications as an assistant professor. His research interests include Lie algebra, polynomial derivation, affine Kac Moody Lie algebra, Weyl and Demazure module Asymmetric Macdonald polynomials, recent algebras, arc varieties, etc.