INdAM Program on Serre Conjectures and the p-adic local Langlands program
Stefano Morra (Universite Paris 8 LAGA), Mod p Hecke algebras and dual equivariant cohomology
Let H be Vignéras pro-p Iwahori-Hecke algebra with mod p coefficients of
a p-adic GLn. Its finite part acts on the cohomology of the mod p dual
flag variety by means of classical Demazure operators. We explain how
this finite representation can be uniquely extended to a natural
representation of the whole algebra H and give some of its properties.
Compatibility of the construction with various operations on the dual
group give applications to the mod p local Langlands correspondence. If
time permits, we discuss the cases of n = 2 and n = 3 in some detail.
This is joint work with C. Ppin.
June 12th. Aula 1 AD 100, Department of Mathematics.