On congruences of Galois representations of number fields
Number Theory
2013-06-04 v1
Abstract
We give a criterion for two l-adic Galois representations of an algebraic number field to be isomorphic when restricted to a decomposition group, in terms of the global representations mod l. This is applied to prove a generalization of a conjecture of Rasmussen-Tamagawa under a semistablity condition, extending some results of one of the authors. It is also applied to prove a congruence result on the Fourier coefficients of modular forms.
Keywords
Cite
@article{arxiv.1306.0321,
title = {On congruences of Galois representations of number fields},
author = {Yoshiyasu Ozeki and Yuichiro Taguchi},
journal= {arXiv preprint arXiv:1306.0321},
year = {2013}
}
Comments
18 pages