| Number | Title | ECTS | Hours | Lecturers |
|---|
| 401-4117-69L | p-Adic Galois Representations | 4 credits | 2V | M. Mornev |
| Abstract | This course covers the structure theory of Galois groups of local fields, the rings of Witt vectors, the classification of p-adic representations via phi-modules, the tilting construction from the theory of perfectoid spaces, the ring of de Rham periods and the notion of a de Rham representation. |
| Learning objective | Understanding the construction of the ring of de Rham periods. |
| Content | In addition to the subjects mentioned in the abstract the course included the basic theory of local fields, l-adic local Galois representations, an oveview of perfectoid fields, the statements of the theorems of Fontaine-Winterberger and Faltings-Tsuji. |
| Literature | J.-M. Fontaine, Y. Ouyang. Theory of p-adic Galois representations.
O. Brinon, B. Conrad. CMI summer school notes on p-adic Hodge theory. |
| Prerequisites / Notice | General topology, linear algebra, Galois theory. |
