Equivariant Bloch-Kato conjecture and non-abelian Iwasawa Main Conjecture

Details Equivariant Bloch-Kato conjecture and non-abelian Iwasawa Main Conjecture Equivariant Bloch-Kato conjecture and non-abelian Iwasawa Main Conjecture

2002-07-30

arxiv.org/abs/math/0207284v1

Proceedings ICM 2002, vol II (2002) 149-162

Mathematics

Number Theory

13 pages

Scientific paper

This is a contribution to the ICM 2002. We explain the relation between the (equivariant) Bloch-Kato conjecture for special values of L-functions and the Main Conjecture of (non-abelian) Iwasawa theory. On the way we will discuss briefly the case of Dirichlet characters in the abelian case. We will also discuss how "twisting" in the non-abelian case would allow to reduce the general conjecture to the case of number fields. This is one the main motivations for a non-abelian Main Conjecture.

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