|GALOIS REPRESENTATIONS AND AUTOMORPHIC FORMS SEMINAR|
|Topic:||Potential Automorphy for Compatible Systems of l-Adic Galois Representations|
|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.