Friday, October 04, 2019
4:00 PM - 5:00 PM
Linde Hall 387
Number Theory Seminar
Series: Number Theory Seminar Series
Fontaine-Mazur conjecture in the residually reducible case
Lue Pan, Department of Mathematics, University of Chicago,
We prove the modularity of some two-dimensional residually
reducible p-adic Galois representations over Q. To do this, we generalize
Emerton's local-global compatibility result and devise a patching argument
for completed homology in this setting.
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