School of Mathematical Sciences

W-algebras, primitive ideals and modular representation theory

Location
A17 Mathematical Sciences
Date(s)
Wednesday 25th January 2023 (13:30-14:30)
Contact
Event Convenor Contact: Sergey.Oblezin@nottingham.ac.uk

Description
Talk Title: W-algebras, primitive ideals and modular representation theory

Speaker's Name: Simon Goodwin
Speaker's Affiliation: University of Birmingham
Speaker's Research Theme(s): Geometry and symmetry,
Abstract:
Finite W-algebras are certain associative algebras determined from a nilpotent element in a complex reductive Lie algebra. The representation theory of finite W-algebras is closely connected to the theory of primitive ideals of universal enveloping algebras. Furthermore, the representation theory of modular versions of finite W-algebras has major applications to the representation theory of modular Lie algebras. In this talk we will give an overview of this theory and some of the many applications of the representation theory of W-algebras. We will end by focussing on recent joint work with Topley-Westaway on completely prime primitive ideals and work with Topley on minimal dimensional representations for reduced enveloping algebras for Lie algebras of classical type.

School of Mathematical Sciences

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