Arithmétique p-adique des formes de Hilbert

Description:

This volume is devoted to the study of Hilbert p-adic modular forms. It contains classicality theorems for overconvergent forms which generalize on the first hand Coleman criterion, which can be applied in big weights, and on the second hand Buzzard-Taylor criterion, which can be applied in weight one. We deduce applications to the Artin and Fontaine-Mazur conjectures. We finally construct Hecke varieties for Hilbert modular forms.

subjects: Modular Forms,  Hilbert modular surfaces,  Discontinuous groups,  Automorphic forms,  Arithmetical algebraic geometry,  Shimura varieties,  Mathematics,  Groupes discontinus,  Formes automorphes,  Géométrie algébrique arithmétique,  Variétés de Shimura