| 3/25-3/29 |
The ring of integers of an algebraic number field is a
Dedekind domain (integral extensions, fractional ideals,
unique factorization of ideals); weak approximation. |
| 4/1-4/5 |
Valuations and the places of a number field;
completions of number fields wrt valuations; valuation
rings; arithmetic in local fields. |
| 4/8-4/12 |
Completions of number fields at non archimedean places
are locally compact, totally disconnected topological
fields; the places of a number field are inequivalent;
Ostrowski's theorem; restricted direct products;
adeles and topological considerations. |
| 4/15-4/19 |
Haar measure on locally compact abelian groups;
modulus; product formula for valuations; ideles;
Fujisaki's lemma; finiteness of the class number. |
| 4/22-4/26 |
Dirichlet unit theorem; strong approximation; local
fields; Hensel's lemma. |
| 4/29-5/3 |
Local fields; uniqueness of valutions; arithmetic of
local fields, ramification. |
| 5/6-5/10 |
Unramified extensions; ramified extensions, inertial
field; different, discrimiant, and ramification. |
| 5/13-5/17 |
Tame and wild ramification; Galois extensions of local fields; |
| 5/20-5/24 |
Global fields; splitting of primes; Dedekind-Kummer,
Global ramification theory; local-global computations;
Galois considerations,; decompostion groups; Frobenius
automorphism. |
| 5/29 |
42 (as in the answer to $\dots$) |