Equivariant Bloch-Kato conjecture and non-abelian Iwasawa Main Conjecture
Number Theory
2010-02-04 v1 Algebraic Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.math/0207284,
title = {Equivariant Bloch-Kato conjecture and non-abelian Iwasawa Main Conjecture},
author = {Annette Huber and Guido Kings},
journal= {arXiv preprint arXiv:math/0207284},
year = {2010}
}
Comments
13 pages