From 2 November 2020, the autumn semester 2020 will take place online. Exceptions: Courses that can only be carried out with on-site presence.
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Maxim Mornev: Catalogue data in Autumn Semester 2019

Name Dr. Maxim Mornev
Professur für Mathematik
ETH Zürich, HG G 27.1
Rämistrasse 101
8092 Zürich
Telephone+41 44 632 63 51
RelationshipAssociate Examiner

401-4117-69Lp-Adic Galois Representations4 credits2VM. Mornev
AbstractThis 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.
ObjectiveUnderstanding the construction of the ring of de Rham periods.
ContentIn 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.
LiteratureJ.-M. Fontaine, Y. Ouyang. Theory of p-adic Galois representations.
O. Brinon, B. Conrad. CMI summer school notes on p-adic Hodge theory.
Prerequisites / NoticeGeneral topology, linear algebra, Galois theory.