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

 


Orateur(s) Eugen HELLMANN - University of Texas,
Titre Families of trianguline representations and finite slopespaces.
Date12/11/2012
Horaire14:00 à 16:00
Diffusion
RésumeWe show how to cut outfamilies of Galois representations from Chenevier's space oftrianguline $(\phi,\Gamma)$-modules. This yields a new definition ofKisin's finite slope subspace as well as higher dimensional analogues.Especially we show that these finite slope spaces containeigenvarieties for unitary groups as closed subspaces. This impliesthat the Galois-representations on eigenvarieties for certain unitarygroups form a trianguline family over a dense Zariski-open subset.
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