![School of Mathematics Event](/sites/default/files/styles/two_column_medium/public/2019-09/sm_default.jpg?itok=gMvWynkh)
Joint IAS/Princeton University Number Theory Seminar
Fontaine–Mazur conjecture in the residually reducible case
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 result and devise a patching argument for completed homology in this setting.
Date & Time
March 01, 2018 | 4:30pm – 5:30pm
Location
Fine Hall 214, Princeton UniversitySpeakers
Lue Pan, Princeton University
Affiliation
Princeton University