学 术 报 告

题目： 　Coordinate rings of Nilpotent KC-Orbits


报告人: Professor Zhu Chengbo
Department of Mathematics
National University of Singapore

时间: 6月23日(星期四) 16:00—17:00

地点: 理科大楼A楼1510

摘要： Vogan's philosophy of unipotent representations entails that if a unitary representation $pi $ of $G$ is to be ``associated" to a nilpotent orbit $orbit$,the coordinate ring $C[baro]$ of its closure should encode the $K$-module structure of $pi$, where $K$ is a maximal compact subgroup of $G$. Thus it is of considerable interest to understand these coordinate rings. In this talk, I will define a notion of lifting of nilpotent $KC$-orbits (and more generally lifting of coherent sheaves in the context of a double fibration of quotient maps) and describe how coordinate rings behave under the lifting map. As an application, one may determine associated cycles of certain class of unitary representations, a very complicated task in general.

数 学 系

2005年6月20日