Iwahori-invariants of principle series, stable envelopes and motivic Chern classes
太阳成集团tyc411(中国)有限公司-百度百科九十周年院庆系列活动之六十七
Title: Iwahori-invariants of principle series, stable envelopes and motivic Chern classes
Speaker: Prof. Changjian Su (IHES)
Time: 10:00-12:00pm, Aug 10
Location: Room 200-9,Sir Shaw Run Run Business Administration building,School of Mathematical Sciences, Yuquan Campus
Abstract: Let G be a reductive p-adic group. In the Iwahori-invariants of an unramified principle series representation of G, there are two bases, one of which is the so-called Casselman basis. In this talk, we will prove a conjecture of Bump--Nakasuji--Naruse about certain transition matrix between these two bases. The ingredients of the proof include Maulik--Okounkov's stable envelopes and Brasselet--Schurmann--Yokura's motivic Chern classes for the Langlands dual groups. This is based on joint work with P. Aluffi, L. Mihalcea and J. Schurmann.
Contact Person: Dongwen Liu (maliu@zju.edu.cn)