An introduction to p-adic period rings
arXiv:1908.08424
Abstract
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 between{é}tale and crystalline or de Rham cohomologies for p-adic varieties.
An introduction to p-adic Hodge theory, In press