Automorphic p-adic L-functions and regulators

An explicit reciprocity law for the GSp(4)-Euler system

18 oct. 2019, 09:30

1h

Salle de réunion (University of Lille)

Orateur

Sarah Zerbes (University College London)

Description

I will report on work in progress with David Loeffler and Chris Skinner. I will sketch a proof for of an explicit reciprocity law for the Euler system attached to the spin representation of genus $2$ Siegel modular forms, relating the Euler system to the spin $p$-adic $L$-function that we constructed in joint work with Vincent Pilloni. As an application, we obtain bounds on Selmer groups, conditional on the nonvanishing of non-critical $p$-adic $L$-values.