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 & Time: Thursday November 18th, 2010, 2:15pm - 3:15pm

Location: 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.