| notes | other material |
|---|---|
| Week 1 | Table about decomposition of primes in number fields. |
| Week 3 | |
Explanation of exercise classes, hand-ins.
| exercise sheet | topics |
|---|---|
| Exercise sheet 1 | Profinite groups, review on finite Galois theory, absolute values on fields. |
| Exercise sheet 2 | Continuous actions of groups, infinite Galois theory. |
| Exercise sheet 3 (to be discussed on 16.3 and on 23.3) | Local fields. |
| Exercise sheet 5 | Some lemmas and Hensel's lemma. |
| Exercise sheet 6 | G-modules. |
| Exercise sheet 7 | Group cohomology. |
| Exercise sheet 8 | Modified Tate group cohomology. |
| Exercise sheet 9 | Proof of the Tate-Nakayama theorem. |
| Exercise sheet 10 |
