Conference talk entitled 'Losev-Premet Ideals'

Description

Abstract of talk:

Losev-Premet ideals are certain primitive ideals in the universal enveloping algebras of complex reductive Lie algebras. Over the last 20 years, they have arisen in the literature from two principal directions. Firstly, they arise in the work of Losev and Premet on 1-dimensional modules for finite W-algebras. Secondly, they arise in the work of Losev, Mason-Brown, and Matvieievskyi on Hamiltonian quantizations of (normalizations of) nilpotent orbits and nilpo-
tent orbit covers. Losev-Premet ideals in the latter context are used to define a notion of unipotent representations for complex reductive algebraic groups. This talk will survey this history, and give some new results on Losev-Premet ideals. This is joint work with Simon Goodwin and Lewis Topley.

Period	22 Jul 2022
Event title	British Early Career Mathematicians' Colloquium
Event type	Conference
Location	Birmingham, United KingdomShow on map
Degree of Recognition	National