Introduction to vertex algebras
Vertex algebras form a language in some sence generalizing the representation theoru of affine Lie algebras. They naturally appear in the representation theory of current Lie algebras and mathematical physics. They form the natural construction of Lie algebras in the category of D-modules on the curve. The characters of vertex algebras have some moduler property and this maces them usable in the number theory.
Lecturer
Date
9th March ~ 15th June, 2026
Location
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| Monday,Friday | 15:20 - 16:55 | A3-1a-204 | ZOOM 06 | 537 192 5549 | BIMSA |
Prerequisite
Linear algebra, Lie algebras
Reference
Vertex Algebras and Algebraic Curves, Edward Frenkel and David Ben-Zvi
Vertex algebras for beginners, Viktor Kac
Vertex algebras for beginners, Viktor Kac
Audience
Undergraduate
, Advanced Undergraduate
, Graduate
, Postdoc
Video Public
Yes
Notes Public
No
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.