Time：15:00-16:00, Monday, June 27, 2022
Venue：Room E4-201, Yungu Campus, Westlake University
Host: Dr. Lifan Guan, Institute for Theoretical Sciences
Speaker: Prof. Shilin Yu, Xiamen University
Title: Deformation quantization of nilpotent coadjoint orbits
Biography：
Dr. Shilin Yu is now a Professor of the School of Mathematical Sciences, Xiamen University. He obtained his Bachelor degree from Fudan University in 2007, and his PhD degree from Pennsylvania State University in 2013. His main research interests lie in noncommutative geometry and representation theory of Lie groups.
Abstract:
The coadjoint orbit method of Kirillov and Kostant suggests that irreducible unitary representations of a Lie group can be constructed as geometric quantization of coadjoint orbits of the group. In the (most difficult) case of noncompact reductive Lie groups, Vogan reformulated the orbit method philosophy in terms of quantization of equivariant vector bundles on nilpotent coadjoint orbits. In this talk, Prof. Yu will propose a scheme to quantize coadjoint orbits using deformation quantization of symplectic varieties and their Lagrangian subvarieties. This is partially based on joint paper with Conan Leung and project with Ivan Losev (in preparation).
