Iwahori-invariants of principle series, stable envelopes and motivic Chern classes
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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 principleseries, 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 RunBusiness Administration building,School of Mathematical Sciences, Yuquan Campus
Abstract: Let G be a reductive p-adicgroup. In the Iwahori-invariants of an unramified principle seriesrepresentation of G, there are two bases, one of which is the so-calledCasselman basis. In this talk, we will prove a conjecture ofBump--Nakasuji--Naruse about certain transition matrix between these two bases.The ingredients of the proof include Maulik--Okounkov's stable envelopesand Brasselet--Schurmann--Yokura's motivic Chern classes for the Langlandsdual groups. This is based on joint work with P. Aluffi, L. Mihalcea andJ. Schurmann.
Contact Person: Dongwen Liu (maliu@zju.edu.cn)