An introduction to p-adic period rings

Xavier Caruso (1, 2)

1 IMB - Institut de Mathématiques de Bordeaux
2 LFANT - Lithe and fast algorithmic number theory

This paper is the augmented notes of a course I gave jointly with Laurent Berger in Rennes in 2014. Its aim was to introduce the periods rings B crys and B dR and state several comparison theorems betweenétale and crystalline or de Rham cohomologies for p-adic varieties.

Domaines: Théorie des nombres [math.NT]; Théorie des représentations [math.RT]

Xavier Caruso. An introduction to p-adic period rings. Société Mathématique de France. An excursion into p-adic Hodge theory: from foundations to recent trends, 54, , 2019, Panoramas et Synthèses, 978-2-85629-913-5. ⟨hal-02268787⟩