Time: June 21-June 22

Venue: Lecture Hall

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 these two talks, I will propose a scheme to quantize coadjoint orbits using deformation quantization of symplectic varieties and their Lagrangian subvarieties. This is partially based on joint work with Conan Leung and ongoing project with Ivan Losev.

Speaker Introduction: 余世霖 Shilin Yu，男，厦门大学数学科学学院教授、博士生导师。2007年本科毕业于复旦大学，2013年博士毕业于美国宾夕法尼亚州立大学(Pennsylvania State University)。主要从事非交换几何和李群表示论方面的研究。