Marc Hindry, Bruno Kahn, Wieslawa Niziol, Cathy Swaenepoel
Email des responsables :
cathy.swaenepoel@imj-prg.fr
Salle :
Adresse :
Description
http://www.imj-prg.fr/tn/STN/stnj.html
Orateur(s)
Aftab Pande - ,
Titre
, IMJ-PRG) An elementary construction of $p$-adic families of Hilbert Modular forms.
Date
23/02/2015
Horaire
14:00 à 16:00
Diffusion
Résume
In 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.
