Title: Local-global compatibility and monodromy
Speaker: Ana Caraiani
Speaker Info: Harvard University
Special Note: There will be an introductory preseminar talk 2:00-2:45 in 101 Annenberg Hall.
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 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.Date: Monday, October 24, 2011