EVENT DETAILS AND ABSTRACT

Title: Fontaine–Mazur conjecture in the residually reducible case
Speaker: Lue Pan
Speaker Info: Princeton University
Brief Description:
Special Note:
Abstract:

We prove the modularity of some two-dimensional residually reducible p-adic Galois representations over Q under certain hypothesis on the residual representation at p. To do this, we generalize Emerton's local-global compatibility and devise a patching argument for completed homology in this setting.