12-22【Changjian Su】 腾讯会议 GAP研讨班系列讲座之196

发布者:万宏艳发布时间:2020-12-21浏览次数:451

题目:Motivic Chern classes of Schubert cells and applications

报告人:Changjian Su (University of Toronto)

时间: 2020年12月22日, 周二,9:00-10:00  

地点:腾讯会议账号:950 391 9321 ; 密码112358

摘要:The motivic Chern class in K-theory is a natural generalization of the MacPherson class in homology. In this talk, we will talk about several applications of the motivic Chern classes of the Schubert cells. These classes can be used to give a smoothness criterion for the Schubert varieties, which is used to prove several conjectures of Bump-Nakasuji-Naruse about representations of p-adic dual groups and also conjectures of Lenart-Zainoulline-Zhong about Schubert classes in hyperbolic cohomology of flag varieties. The Euler characteristics of these classes are also related to the Iwahori-Whittaker functions of the dual groups. Based on joint works with P. Aluffi, C. Lenart, L. Mihalcea, J. Schürmann, K. Zainoulline, and C. Zhong.


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