Topics on modular Galois representations modulo prime powers

2016/12/15 by Panagiotis Tsaknias, Tsaknias, Panagiotis, Gabor Wiese +1
Mathematics · #Algebraic Geometry and Number Theory #Analytic Number Theory Research #Advanced Algebra and Geometry

paper · pdf · doi:10.48550/arxiv.1612.05017

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.

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