| GALOIS REPRESENTATIONS AND AUTOMORPHIC FORMS SEMINAR | |
| Topic: | Potential Automorphy for Compatible Systems of l-Adic Galois Representations |
| Speaker: | David Geraghty |
| Affiliation: | Princeton University; Member, School of Mathematics |
| Date: | Thursday, November 18 |
| Time/Room: | 2:15pm - 3:15pm/S-101 |
I will describe a joint work with Barnet-Lamb, Gee and Taylor where we establish a potential automorphy result for compatible systems of Galois representations over totally real and CM fields. This is deduced from a potential automorphy result for single l-adic Galois representations satisfying a `diagonalizability' condition at the places dividing l.