# Dimitar Grantcharov (University of Texas at Arlington)

Date

Friday March 4, 20222:30 pm - 3:30 pm

Location

Online (via Zoom)## Math & Stats Department Colloquium

**Friday, March 4th, 2022**

**Time:** 2:30 p.m. **Place:** Online (via Zoom)

**Speaker:** Dimitar Grantcharov (University of Texas at Arlington)

**Title:** Weight representations of Lie algebras

**Abstract:** Weight representations are representations that decompose as direct sums of weight spaces. Examples of weight representations include highest weight representations, in particular, finite-dimensional representations. In this talk we will discuss the recent progress in the study of categories of weight representations over complex finite-dimensional Lie algebras and Lie algebras of vector fields. The talk is based on joint works with V. Serganova.

**Dimitar Grantcharov** is a Full Professor in the Department of Mathematics at the University of Texas Arlington. He received his Ph.D. in mathematics from University of California, Riverside in 2003. His research is in the areas of representations of Lie algebras and superalgebras.