 | Study programme 2019-2020 | Français | |
| Seminars: Local Fields | |||
Learning Activity |
| Code | Lecturer(s) | Associate Lecturer(s) | Subsitute Lecturer(s) et other(s) | Establishment |
|---|---|---|---|---|
| S-MATH-034 |
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| Language of instruction | Language of assessment | HT(*) | HTPE(*) | HTPS(*) | HR(*) | HD(*) | Term |
|---|---|---|---|---|---|---|---|
| Français | Français | 30 | 0 | 90 | 0 | 0 | A |
| Organisational online arrangements for the end of Q3 2019-2020 assessments (Covid-19) |
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| Description of the modifications to the Q3 2019-2020 online assessment procedures (Covid-19) |
| Course content assessed: unchanged. Assessment method: online presentation. |
Content of Learning Activity
Core: commutative algebra, 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
M.F. Atiyah and I.G. Macdonald, Introduction to Commutative Algebra, Addison-Wesley
J.-P. Serre, Cours d'arithmétique, Presses Universitaires de France
J. Neukirch, Algebraic Number Theory, Grundlehren der Mathematischen Wissenschaften 322 , Springer-Verlag
Recommended Learning Resources/Tools
Not applicable
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)