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arXiv · 1509.00200

On the non-abelian Brumer-Stark conjecture and the equivariant Iwasawa main conjecture

Henri Johnston·Andreas Nickel
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Abstract

We show that for an odd prime p, the p-primary parts of refinements of the (imprimitive) non-abelian Brumer and Brumer-Stark conjectures are implied by the equivariant Iwasawa main conjecture (EIMC) for totally real fields. Crucially, this result does not depend on the vanishing of the relevant Iwasawa mu-invariant. In combination with the authors' previous work on the EIMC, this leads to unconditional proofs of the non-abelian Brumer and Brumer-Stark conjectures in many new cases.

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Henri Johnston, Andreas Nickel. 2018-08-03. On the non-abelian Brumer-Stark conjecture and the equivariant Iwasawa main conjecture. https://arxiv.org/abs/1509.00200

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