报告题目：Motivic Chern classes of open projected Richardson varieties and of affine Schubert cells.

报告人：钟昌龙，纽约大学Albany分校

报告时间：5月25日14:00-15:00

报告地点：新楼308

摘要：

Open projected Richardson varieties are indexed by pairs of Weyl group elements (u,w) with u <= w and w a minimal length representative. It is known that there is an embedding of these elements into the extended affine Weyl group, and there is also a geometric isomorphism behind this combinatorial construction. One can then consider the cohomology/K-theory classes. For example, He-Lam proved that the cohomology/K-theory classes of closed projected Richardson varieties coincide with opposite Schubert class in the affine Grassmannian, and Fan-Guo-Su-Xiong proved that the Segre-MacPherson classes of open projected Richardson varieties coincide with Segre-MacPherson classes of opposite Schubert cells. In this talk, I will talk about the generalization of these results into motivic Chern classes.