Modularity of some residually dihedral 2-adic Galois representations
Speaker:
Patrick Allen, McGill University
Date and Time:
Monday, March 26, 2012 - 1:00pm to 3:00pm
Abstract:
Modularity lifting theorems for p-adic Galois representations have played an important role in number theory over the last twenty years. When p is odd, many such theorems have been established. When p = 2, only three results are found in the literature, due to Dickinson, Khare-Wintenberger, and Kisin. Each of these requires the residual representation to have non-solvable image. We adapt the method of Skinner and Wiles to prove modularity of many residually dihedral 2-adic representations in the ordinary case.