401-4117-69L  p-Adic Galois Representations

SemesterAutumn Semester 2019
LecturersM. Mornev
Periodicitynon-recurring course
Language of instructionEnglish


401-4117-69 Vp-Adic Galois Representations
No course on 23 September 2019
2 hrs
Mon10-12ML J 37.1 »
M. Mornev

Catalogue data

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.

Performance assessment

Performance assessment information (valid until the course unit is held again)
Performance assessment as a semester course
ECTS credits4 credits
ExaminersM. Mornev
Typesession examination
Language of examinationEnglish
RepetitionThe performance assessment is offered every session. Repetition possible without re-enrolling for the course unit.
Mode of examinationoral 20 minutes
Additional information on mode of examinationThe exam will not be offered after the Summer 2021 Examination Session
This information can be updated until the beginning of the semester; information on the examination timetable is binding.

Learning materials

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Offered in

Doctoral Department of MathematicsGraduate SchoolWInformation
Mathematics MasterSelection: Algebra, Number Thy, Topology, Discrete Mathematics, LogicWInformation