GALOIS REPRESENTATIONS AND AUTOMORPHIC FORMS SEMINAR

Potential Automorphy for Compatible Systems of l-Adic Galois Representations
Speaker
David Geraghty
Princeton University; Member, School of Mathematics
Date: 
Thu, 11/18/2010 - 14:15 - 15:15
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.