Number Theory

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

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.
Date: Monday, March 08, 2010
Time: 3:00PM
Where: Lunt 107
Contact Person: Florian Herzig
Contact email: herzig@math
Contact Phone: 847-467-1898
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