November 5 : Changjian Su

Title: K-theoretic stable basis, Motivic Chern classes, and Iwahori invariants of principal series

Abstract:

In this talk, we will relate the following objects: Maulik--Okounkov's K-theoretic stable basis for the Springer resolution, Brasselet–Schurmann–Yokura’s motivic Chern classes for the Schubert cells, and Iwahori-invariants of an unramified principal series representation of the Langlands dual p-adic group. With this, we can prove a conjecture of Bump–Nakasuji–Naruse about Casselman basis in the unramified principal series. Based on joint work with P. Aluffi, L. Mihalcea and J. Schurmann.