19–28 juin 2019
Université de Bordeaux, building A33
Fuseau horaire Europe/Paris

David LOEFFLER. p-adic L-functions and Euler systems for GSp(4).

27 juin 2019, 14:30
1h
GAM (building A33)

GAM

building A33

Description

Abstract: I will explain how the higher Hida theory recently introduced by Pilloni can be used to construct p-adic L-functions interpolating the criticalvalues of the degree 4 (spin) L-functions of automorphic forms on GSp(4), and the degree 8 L-functions of cusp forms on GSp(4) x GL(2).This is joint work with Vincent Pilloni, Chris Skinner and Sarah Zerbes. I will conclude by describing work in progress to relate the GSp(4) p-adic L-function to the images of Euler system classes under the p-adic syntomic regulator map

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