MS Seminar (Mathematics - String Theory)

Speaker: Shilin Yu (Xiamen University)
Title: Coadjoint orbit method and quantization
Date (JST): Tue, Jun 27, 2023, 15:30 - 17:00
Place: Seminar Room A
Abstract: The coadjoint orbit method of Kirillov and Kostant suggests that irreducible unitary representations of a Lie group can be constructed as quantization of coadjoint orbits of the group. Later Vogan reformulated the orbit method in algebro-geometric language for noncompact reductive Lie groups. I will propose an approach to this conjecture using deformation quantization. This is based on joint work with Conan Leung and ongoing project with Ivan Losev.