Topics on modular Galois representations modulo prime powers
Number Theory
2017-07-04 v2
Abstract
This article surveys modularity, level raising and level lowering questions for two-dimensional representations modulo prime powers of the absolute Galois group of the rational numbers. It contributes some new results and describes algorithms and a database of modular forms orbits and higher congruences.
Cite
@article{arxiv.1612.05017,
title = {Topics on modular Galois representations modulo prime powers},
author = {Panagiotis Tsaknias and Gabor Wiese},
journal= {arXiv preprint arXiv:1612.05017},
year = {2017}
}
Comments
20 pages; this article supersedes arXiv:1203.6541 by the first author; accepted for publication in: B\"ockle, Decker, Malle (Editors). Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory