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Iwahori-invariants of principle series, stable envelopes and motivic Chern classes

编辑:xyx 时间:2018年08月07日 访问次数:261

浙江大学数学科学学院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)