Modularity Lifting in Non-Regular Weight

Joint IAS-PU Number Theory Seminar
Topic:Modularity Lifting in Non-Regular Weight
Speaker:David Geraghty
Affiliation:Princeton University
Date:Thursday, February 23
Time/Room:4:30pm - 5:30pm/Fine Hall -- 214

Modularity lifting theorems were introduced by Taylor and Wiles and formed a key part of the proof of Fermat's Last Theorem. Their method has been generalized successfully by a number of authors but always with the restriction that the Galois representations and automorphic representations in question have regular weight. I will describe a method to overcome this restriction in certain cases. I will focus mainly on the case of weight 1 elliptic modular forms. This is joint work with Frank Calegari.