EVENT DETAILS AND ABSTRACT

Title: Congruences between weight 2 Hilbert modular forms
Speaker: David Geraghty
Speaker Info: Harvard
Brief Description:
Special Note:
Abstract:

Let F be a totally real field and rhobar an irreducible modular mod l representation of G_F. We prove an existence theorem for potentially Barsotti-Tate modular lifts of rhobar. The key ingredient in the proof is a result guaranteeing the existence of ordinary lifts, after replacing F by a solvable extension. We give applications to modularity lifting theorems for Barsotti-Tate Galois representations. This is joint work with Thomas Barnet-Lamb and Toby Gee.