Hecke algebras and Macdonald polynomials
We will define the Hecke algebras, their representations and the affine versions of them. We will explain the relations of these algebras to the families of orthogonal polynomials, called nonsymmetric Macdonald polynomials.
Lecturer
Date
28th February ~ 25th April, 2024
Location
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| Tuesday,Wednesday,Thursday | 15:30 - 17:05 | A3-1a-205 | ZOOM A | 388 528 9728 | BIMSA |
Prerequisite
Linear algebra, Coxeter groups
Reference
I. Cherednik, Double affine Hecke algebras
Audience
Undergraduate
, Advanced Undergraduate
, Graduate
, Postdoc
Video Public
Yes
Notes Public
Yes
Language
English
Lecturer 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.