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Lifting Galois representations

Algebra and Number Theory Seminar

Lifting Galois representations
Series: Algebra and Number Theory Seminar
Location: Zoom Meeting
Presenter: Stefan Patrikis, Ohio State University

I will survey joint work with Najmuddin Fakhruddin and Chandrashekhar Khare in which we prove in many cases existence of geometric p-adic lifts of "odd" mod p Galois representations, valued in general reductive groups. Then I will discuss applications to modularity of reducible mod p Galois representations.