Number Theory Seminar

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

Samuel Mundy, Department of Mathematics, Columbia University,

I will discuss the Skinner--Urban method, which aims to construct nontrivial classes in certain Bloch--Kato Selmer groups. I will then explain some recent work carrying out this method for symmetric cube Galois representations attached to modular forms; this involves p-adically deforming Eisenstein series and Galois representations for the exceptional group G_2.

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