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Caltech

Number Theory Seminar

Friday, October 4, 2019
4:00pm to 5:00pm
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Linde Hall 387
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.

For more information, please contact Math Department by phone at 626-395-4335 or by email at [email protected].