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. We will give a more detailed overview in the first lecture.
Password: Last name of an important mathematician of the 20th century with first name "Emmy".
- Lehrende(r): Georg Linden
- Lehrende(r): Johannes Sprang