# GALOIS REPRESENTATIONS AND AUTOMORPHIC FORMS SEMINAR

Topic: Local-Global Compatibility and Monodromy

Speaker: Ana Caraiani

Affiliation: Harvard University

Date & Time: Thursday January 20th, 2011, 2:15pm - 3:15pm

Location: S-101

Given a cuspidal automorphic representation of GL(n) which is regular algebraic and conjugate self-dual, one can associate to it a Galois representation. This Galois representation is known in most cases to be compatible with local Langlands. When n is even, the compatibility is known up to semisimplification or when the representation satisfies an additional regularity condition. I will extend the compatibility to Frobenius semisimplification by identifying the monodromy operators