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SUMMARY:Equivariant L-values of modular abelian varieties
DTSTART;VALUE=DATE-TIME:20140624T083000Z
DTEND;VALUE=DATE-TIME:20140624T093000Z
DTSTAMP;VALUE=DATE-TIME:20220925T015600Z
UID:indico-contribution-606@indico.math.cnrs.fr
DESCRIPTION:Speakers: François Brunault (École normale supérieure de Ly
on)\n\nAn abelian variety defined over a number field is called strongly m
odular when its L-function is the product of L-functions of modular forms
of weight 2. In this talk\, we will show a weak version of Beilinson's con
jectures for non-critical L-values of strongly modular abelian varieties.
We will explain the interest of formulating an equivariant version of thes
e conjectures (after Burns and Flach)\, as well as the main ingredients of
the proof: a Hecke-equivariant version of Beilinson's theorem on modular
curves\, and a modularity result for endomorphism algebras. As an applicat
ion\, we deduce a weak version of Zagier's conjecture on L(E\,2) when E is
a Q-curve without complex multiplication which is completely defined over
a quadratic field.\n\nhttps://indico.math.cnrs.fr/event/158/contributions
/606/
LOCATION:Salle de réunions (Université Lille 1)
RELATED-TO:indico-event-158@indico.math.cnrs.fr
URL:https://indico.math.cnrs.fr/event/158/contributions/606/
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