走向现代数学学术报告 - 钟昌龙副教授（No. 955)

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

报 告 人：钟昌龙 副教授（美国纽约州立大学奥尔巴尼分校）

邀 请 人：邬恩信 副教授

报告时间：2026年7月6日 15:00

报告地点：东海岸校区-D实209

报告摘要：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.

个人简介：钟昌龙，2011年博士毕业于美国南加州大学，主要研究旗簇的代数上同调理论及其与Schubert calculus和表示论的关系。在Compos. Math., Adv. Math., J. Inst. Math. Jussieu, Math. Z.等专业学术杂志发表论文27篇。