Algebra and Combinatorics Seminar
Date: March 2, 2018
Time: 3:00PM - 4:00PM
Location: BLOC 628
Speaker: Shilin Yu, Texas A&M University
Title: Quantization and representation theory
Abstract: In this talk, I will talk about a geometric way to construct representations of noncompact semisimple Lie groups, though no prior knowledge is required. Kirillov's coadjoint orbit method suggests that (unitary) irreducible representations can be constructed as geometric quantization of coadjoint orbits of the group. Except for a lot of evidence, the quantization scheme meets strong resistance in the case of noncompact semisimple groups. I will give a new perspective on the problem using deformation quantization of symplectic varieties and their Lagrangian subvarieties. This is joint work in progress with Conan Leung.