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Algebra Seminar

Monday, April 1, 2019 - 3:15pm

Preston Wake



University of Pennsylvania

DRL 4N30

We'll discuss a work in progress describing properties of p-adic L-functions of a modular form whose Galois representation is residually reducible, paying particular attention to the case of the elliptic curve X_0(11) with p=5. As an application, we prove cases of a conjecture of Greenberg about mu-invariants of Selmer groups of elliptic curves. This is joint work with Rob Pollack.