Ana Caraiani : Local-global compatibility for $l=p$

Posted by Henri Gillet , part of the Number Theory Seminar.

At

Nov. 27, 2012, 3 p.m.

In

SEO 636

Abstract

Given a cuspidal automorphic representation of $GL(n)$ over a CM field, which is regular algebraic and conjugate self-dual, one can associate to it a Galois representations. This Galois representation is known in almost all cases to be compatible with local Langlands. I will prove the last missing case of the compatibility by identifying the monodromy operators when $l=p$ and n is even.