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Monday 23 Mar 2015Brumer's conjecture and generalisations

Andreas Nickel - Bielefeld

H103 15:00-16:00

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.

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