p-adic L-functions via higher Hida theory

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• David Loeffler
• Tuesday 03 December 2019, 14:30-15:30
• MR13.

If you have a question about this talk, please contact Jack Thorne.

I will recall the construction of a p-adic L-function associated to a modular form, interpolating the critical values of the L-function of the form and its twists. There are many ways to construct such p-adic L-functions, but I will focus on one particular approach based on Hida’s theory of p-adic families of modular forms: this is particularly important due to its relation to Kato’s Euler system. I will then explain a corresponding picture for genus 2 Siegel modular forms, which is joint work with Pilloni, Skinner, and Zerbes: we construct a p-adic L-function for Siegel modular forms using Pilloni’s “higher Hida theory”.

This talk is part of the Number Theory Seminar series.

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