Séminaires : Séminaire Théorie des Nombres

Equipe(s) : tn,
Responsables :Ziyang Gao, Marc Hindry, Bruno Kahn, João Pedro P. dos Santos
Email des responsables : ziyang.gao@imj-prg.fr
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Description

http://www.imj-prg.fr/tn/STN/stnj.html

 


Orateur(s) Sarah Zerbes - UCL,
Titre Euler systems and p-adic L-functions for GSp(4)
Date10/12/2018
Horaire14:00 à 15:00
Diffusion
RésumeEuler systems are compatible families of Galois cohomology classes attached to a global Galois representation, and they play an important role in proving cases of the Bloch—Kato conjecture. In my talk, I will explain the construction both of an Euler system and of a p-adic L-function attached to the spin representation of a genus 2 Siegel modular form. I will also sketch a strategy for proving an explicit reciprocity law, relating the bottom class of the Euler system to values of the p-adic L-function. This is work in progress with David Loeffler, Vincent Pilloni and Chris Skinner.
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