Motivic Chern classes of Schubert cells and applications

Abstract: The motivic Chern classes are K-theoretic generalization of the MacPherson classes in homology. The motivic Chern classes of Schubert cells have a Langlands dual description in the Iwahori invariants of principal series representation of the p-adic Langlands dual group. In joint works with Aluffi, Mihalcea, and Schurmann, we use this relation to solve conjectures of Bump, Nakasuji and Naruse about Casselman's basis, and also relate the Euler characteristics of the motivic Chern classes to the Iwahori Whittaker functions.

number theoryrepresentation theory

Audience: researchers in the topic

Geometry, Number Theory and Representation Theory Seminar