Abstract:
Kirillov's famous orbit method suggests that irreducible unitary representations of a Lie group could be obtained by quantizing its coadjoint orbits via geometric quantization. The case of noncompact semisimple groups has remained unsettled due to lack of invariant polarizations on the orbits. Inspired by the work of Gukov and Witten, we propose a new way to quantize coadjoint orbits using hyperkahler structures and deformation quantization. Part of the project is joint work in progress with Conan Leung.
报告者简介：
余世霖：香港中文大学博士后。Advances in Mathematics审稿人。2007获得复旦大学数学学士学位，2013年获得美国滨州州立大学博士学位，2013-2016在宾夕法尼亚大学作博士后。余世霖博士主要研究方向为非交换几何，表示理论，代数几何、辛几何及导代数几何(Derived Geometry)。
