时间:2022年6月27日(星期一)15:00-16:00
地点:西湖大学云谷校区E4-201
主持人:理论betway必威棋牌网址 院 关力凡博士
主讲人:厦门大学 余世霖教授
报告题目:Deformation quantization of nilpotent coadjoint orbits
主讲人简介:
余世霖,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。主要从事非交换几何和李群表示论方面的研究。
报告摘要:
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).