Title: Modularity of nearly ordinary 2-adic residually dihedral Galois representations
Speaker: Patrick Allen
Speaker Info: Northwestern
Brief Description:
Special Note:
Abstract:
We prove modularity of some two dimensional, 2-adic Galois representations over totally real fields that are nearly ordinary and that are residually dihedral. We do this by employing the strategy of Skinner and Wiles, using Hida families, together with the 2-adic patching method of Khare and Wintenberger. As an application we deduce modularity of some elliptic curves over totally real fields that have good ordinary or multiplicative reduction at places above 2.Date: Monday, February 18, 2013