$p$-adic shtukas and the theory of global and local Shimura varieties
G. Pappas, Michael Rapoport
Abstract
We establish basic results on p-adic shtukas and apply them to the theory of local and global Shimura varieties, and on their interrelation. We construct canonical integral models for (local, and global) Shimura varieties of Hodge type with parahoric level structure.
Topics & Concepts
Shimura varietyMathematicsPure mathematicsConstruct (python library)Algebra over a fieldComputer scienceModular formProgramming languageAdvanced Algebra and GeometryAlgebraic Geometry and Number TheoryGeometry and complex manifolds