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University of Cambridge > Talks.cam > Number Theory Seminar > Generalising Stickelberger: Annihilators (and more) for class groups of number fields

## Generalising Stickelberger: Annihilators (and more) for class groups of number fieldsAdd to your list(s) Download to your calendar using vCal - David Solomon (King's College London)
- Tuesday 25 May 2010, 14:30-15:30
- MR13.
If you have a question about this talk, please contact Tom Fisher. Stickelberger’s Theorem (from 1890) gives an explicit ideal in the Galois group-ring which annihilates the minus-part of the class group of a cyclotomic field. In the 1980s Tate and Brumer proposed a generalisation (the `Brumer-Stark conjecture’) for any abelian extension of number fields Both the theorem and the conjecture leave certain questions unanswered: Is the (generalised) Stickelberger ideal the full annihilator, the Fitting ideal or what? And, at a more basic level, what can we say in the plus part, e.g. for a real abelian field? I shall discuss possible answers, some still conjectural, to pieces of these puzzles, using two new This talk is part of the Number Theory Seminar series. ## This talk is included in these lists:- All CMS events
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