Dwork's congruences and p-adic cohomology
Apparaît dans la collection : Tropical Geometry, Berkovich Spaces, Arithmetic D-Modules and p-adic Local Systems
This talk is about some curious p-adic properties of period functions, that were discovered by Bernard Dwork in his work on rationality of zeta functions. I will demonstrate their generalization and explain a cohomological proof. Our proof uses an explicit Dwork-style construction of Cartier operation on differential forms on toric hypersurfaces. This is joint work with Frits Beukers.
