Séminaires : Séminaire Groupes Réductifs et Formes Automorphes

Equipe(s) : fa, tn,
Responsables :Alexis Bouthier, Benoît Stroh
Email des responsables : alexis.bouthier@imj-prg.fr, benoit.stroh@imj-prg.fr
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Description

Orateur(s) David LOEFFLER - Warwick,
Titre Euler-Systems for Rankin-Selberg convolutions of modular forms
Date12/11/2012
Horaire10:30 à 11:30
Diffusion
RésumeIn this talk, I'll describe a construction of a family of cohomology classes in the product of the Galois representations attached to two weight 2 modular forms over cyclotomic fields, generalizing constructions of Beilinson, Flach, and Bertolini-Darmon-Rotger. These classes form an ``Euler system'', which can be used to bound the size of Selmer groups. I will also discuss applications of this construction to the Iwasawa theory of a single modular form over an imaginary quadratic field.
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