A tour via examples of Beilinson-Berstein localisation

Speaker: 

Anna Romanov

Affiliation: 

University of Sydney

Date: 

Fri, 09/04/2021 - 12:00pm

Venue: 

Zoom link: https://unsw.zoom.us/j/85355100919

Abstract: 

This is a talk about my favourite theorem. The Beilinson—Bernstein localisation theorem provides a concrete link between two seemingly disparate mathematical worlds: the world of Lie theory (the study of continuous symmetry groups), and the world of algebraic D-modules (the study of differential equations on algebraic varieties). This theorem was introduced in 1981 to prove the most important open problem in Lie theory of the time, the Kazhdan—Lusztig conjecture, and has remained at the heart of geometric representation theory for the past 40 years. In this talk, we’ll explore this powerful theorem through the lens of examples, both classical and modern, and I’ll explain how it shapes my personal mathematical landscape.

School Seminar Series: