Ebook: Arithmetique P-adique Des Formes De Hilbert

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.