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Lifts of mod p local Galois representation

Algebra and Number Theory Seminar

Lifts of mod p local Galois representation
Series: Algebra and Number Theory Seminar
Location: ENR2 S395
Presenter: Matthew Emerton, University of Chicago
I will describe the proof of the following result: if rhobar is a mod p representation of the absolute Galois
group of a p-adic field, then rhobar has a lift to a p-adic representation.   Furthermore, this lift can be taken to be crystalline,
and potentially diagonalizable (this last condition is a technical but important one that arises in the theory of automorphy
lifting).  This is joint work with Toby Gee.