 | Study programme 2018-2019 | Français | |
 | Seminars: Local Fields | ||
Activité d'apprentissage à la Faculty of Science |
| Code | Lecturer(s) | Associate Lecturer(s) | Subsitute Lecturer(s) et other(s) |
|---|---|---|---|
| S-MATH-034 |
|
| Language of instruction | Language of assessment | HT(*) | HTPE(*) | HTPS(*) | HR(*) | HD(*) | Term |
|---|---|---|---|---|---|---|---|
| Français | Français | 30 | 0 | 90 | 0 | 0 | A |
Content of Learning Activity
Core: topological groups and rings, inductive and projective limits, completions, absolute values and valuations, discrete valuation rings , p-adic fields, dévissages.
Further topics (non-exhaustive list):
- Algebraic number theory
- Galois cohomology
- Galois theory of p-adic extensions
- Hasse principle for rational quadratic forms
- Topics in p-adic analysis
- Witt vectors
Required Learning Resources/Tools
Not applicable
Recommended Learning Resources/Tools
J.-P. Serre, A Course in Arithmetic, Graduate Texts in Mathematics 7, Springer-Verlag.
J. Neukirch, Algebraic Number Theory, Grundlehren der Mathematischen Wissenschaften 322 , Springer-Verlag.
J.-P. Serre, Local Fields, Graduate Texts in Mathematics 67, Springer-Verlag.
Other Recommended Reading
Not applicable
Mode of delivery
- Face to face
Type of Teaching Activity/Activities
- Préparations, travaux, recherches d'information
Evaluations
The assessment methods of the Learning Activity (AA) are specified in the course description of the corresponding Educational Component (UE)