Number/Representation Theory

Event Information Motivic Chern classes and Iwahori invariants of principal seri
14:10 on Wednesday October 24, 2018
15:00 on Wednesday October 24, 2018
BA6183, Bahen Center, 40 St. George St.
Changjian Su

University of Toronto

Let G be a split reductive p-adic group. In the Iwahori-invariants of an unramified principal 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.