The goal of this course is to introduce the basic notions of p-adic Hodge theory, an analogue for p-adic analytic spaces of classical Hodge theory for Kaehler manifolds and complex varieties. It will cover the following topics:

- p-adic periods: Fontaine rings

- Galois representations for non-archimedean local fields

- Comparison theorems

- The Fargues-Fontaine curve

Semester: WiSe 2023/24