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) Stefan MÜLLER-STACH - Mainz,
Titre Arakelov inequalities for Shimura subvarieties
Date14/05/2012
Horaire10:30 à 11:30
RésumeWe report on some Hodge theoretic criteria characterizing special subvarieties of Shimura varieties, and a weak form of the André-Oort Problem, characterizing special subvarieties which contain sufficiently many special subvarieties of dimension at least one. It turns out that already in the case of curves on surfaces the non-smoothness of Hecke translates plays an interesting role, and is related to other open conjectures in Algebraic geometry.
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