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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Orateur(s) T. Gee - ,
Titre The weights of mod p Hilbert modular forms
Date14/11/2005
Horaire14:00 à 16:00
RésumeWe prove many cases of a recent conjecture of Buzzard, Diamond andJarvis concerning the possible weights of mod p Hilbert modular forms.The techniques we use are an extension of a recent modularity liftingtheorem of Mark Kisin's, together with an extension of a liftingtheorem of Ramakrishna, and some computations in p-adic Hodge theorywhich amount to some cases of (a generalisation of) the Breuil-Mezardconjecture for potentially Barsotti-Tate representations of anunramified extension of Qp.
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