# Séminaires : Séminaire Groupes, Représentations et Géométrie

 Equipe(s) : gr, Responsables : A. Brochier, O. Brunat, J.-Y. Charbonnel, O. Dudas, E. Letellier, D. Juteau, M. Varagnolo, E. Vasserot Email des responsables : Adrien Brochier , Olivier Brunat , Jean-Yves Charbonnel , Olivier Dudas , Emmanuel Letellier , Daniel Juteau , Michela Varagnolo , Eric Vasserot Salle : salle 2015, 2em étage, Adresse : Sophie Germain Description

 Orateur(s) Su CHANGJIAN - Columbia University, Titre On the K-theoretic stable basis of the Springer resolution Date 06/10/2017 Horaire 10:30 à 11:30 Diffusion Résume It is well known that there are two geometric realizations of the affine Hecke algebra. In this talk, I will compare the two geometric realizations of the periodic modules for the affine Hecke algebra, which is due to Lusztig and Braverman--Kazhdan. One of them uses the equivariant $K$ theory of $T^*G/B$. The other one involves the unramified principle series of Langlands dual p-adic group. We will compare the basis in those two spaces. With this, we can have an equivariant $K$-theoretic analogue of the Macdonald's formula for the spherical functions and the Casselman--Shalika formula for the Whittaker functions. Joint work with Gufang Zhao and Changlong Zhong. Salle salle 2015, 2em étage, Adresse Sophie Germain