Local-Global Compatibility and Monodromy
| GALOIS REPRESENTATIONS AND AUTOMORPHIC FORMS SEMINAR | |
| Topic: | Local-Global Compatibility and Monodromy |
| Speaker: | Ana Caraiani |
| Affiliation: | Harvard University |
| Date: | Thursday, January 20 |
| Time/Room: | 2:15pm - 3:15pm/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