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) Aftab Pande - ,
Titre , IMJ-PRG) An elementary construction of $p$-adic families of Hilbert Modular forms.
Date23/02/2015
Horaire14:00 à 16:00
RésumeIn this short note, we use an idea of Buzzard and give an elementary construction of a $p$-adic family of Hilbert Modular eigenforms. In previous work of the author, results on local constancy of slope $\alpha$ spaces of Hilbert modular forms were obtained in the spirit of the Gouvea-Mazur conjectures. Assuming the dimensions of the slope $\alpha$ spaces is 1, we are able to obtain a $p$-adic family of Hilbert Modular Forms.
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