In 1850, Kummer proved that the p-part of the class group of the cyclotomic field Q(ζp) is trivial if and only if the prime p does not appear in the numerator of any Bernoulli number. This can be seen as the starting point of Iwasawa Theory which relates p-adic L-functions to p-parts of class groups in Zp extensions. In this course, we would like to give an introduction to this beautiful theory in the cyclotomic case.
The password of the Moodle course will be announced in the first lecture (see also here, for a hint).
- Lehrende(r): Bence Forrás
- Lehrende(r): Johannes Sprang