The pro-p-Iwahori Hecke algebra

by Prof. M-F. Vigneras (University of Paris, Jussieu,)

Thursday, January 2, 2014 from 16:00 to 17:00 (Asia/Kolkata)
at Colaba Campus ( AG-69 )

Description

ABSTRACT:

The pro-p-Iwahori Hecke algebra H of a reductive p-adic group G over a
commutative ring R is a  deformation of the  R-algebra of a variant of an
affine Weyl group. When R is a field of characteristic p, it is  an
important  tool to study the  R-representations of G, and deep relations
between the H-modules and the representations of local Galois groups have
been discovered. We will describe the Ram-Goertze alcove walks bases of H
and the Bernstein relations, essential to understand the structure of H 
and its  modules.