Théorie de la réduction pour les groupes p-divisibles

Abstract

Starting from our work on Harder-Narasimhan filtrations of finite flat group schemes over a $p$-adic field, we developp a theory of Harder-Narasimhan filtrations for $p$-divisible groups. We apply this to the study of the geometry of period morphisms for Rapoport-Zink spaces and to the $p$-adic geometry of Shimura varieties. We define and study in particular some fundamental domains for the action of Hecke correspondences.

arXiv commentin French

References in corpus (6)

• Towards a theory of local Shimura varieties
• Geometrization of the local Langlands correspondence: an overview
• Fully Hodge-Newton decomposable Shimura varieties
• On the structure of some p-adic period domains
• A Harder-Narasimhan theory for Kisin modules
• A New Northcott Property for Faltings Height

Cited by in corpus (2)

• A Harder-Narasimhan theory for Kisin modules
• Eichler-Shimura Relations for Shimura Varieties of Hodge Type