p-adic Hodge theory (WiSe 2023)

Lecturer:

Prof. Dr. Bruno Klingler

Time and place:

Tue 9am-1pm 1.114
Th 1pm-3pm 2.006

The class will start on October 17th.

Moodle:

The Moodle page for the course is here, you can register there.

The Moodle key is "pHodge".

Content:

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

References:

Brinon and Conrad, CMI summer school notes on p-adic Hodge theory
Fargues and Fontaine, Courbes et fibré vectoriels en théorie de Hodge p-adique, Asterisque 406
Fontaine, Périodes p-adiquesm Asterisque 223
Fontaine and Ouyang, Theory of p-adic Galois representations