Monday 23 Mar 2015: Brumer's conjecture and generalisations
Andreas Nickel - Bielefeld
Let L/K be a finite Galois extension of number fields with Galois group
G. When G is abelian, a classical conjecture of Brumer asserts that
certain Stickelberger elements (constructed from values of Artin
L-series at zero) annihilate the class group of L. We discuss a
generalisation of this conjecture for arbitrary G, and its relation to
the main conjecture of equivariant Iwasawa theory.