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Presented By: Department of Mathematics

RTG Seminar on Number Theory Seminar

The Skinner--Urban method and the symmetric cube Bloch--Kato conjecture

Pre-talk for graduate students: 2pm "Ribet's converse to Herbrand's theorem"
Main talk: 3-3:50pm

I will explain the Skinner--Urban method, which constructs nontrivial elements in Selmer groups attached to certain p-adic Galois representations, assuming the vanishing of their L-functions at the central critical point. Then I will describe some work-in-progress which carries out this method for symmetric cube Galois representations by p-adically deforming Eisenstein series on the exceptional group G_2.
Speaker(s): Sam Mundy (Columbia University)

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