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。