Topics on modular Galois representations modulo prime powers

Panagiotis Tsaknias; Gabor Wiese

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arXiv · 1612.05017

Topics on modular Galois representations modulo prime powers

Panagiotis Tsaknias·Gabor Wiese

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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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Panagiotis Tsaknias, Gabor Wiese. 2016-12-15. Topics on modular Galois representations modulo prime powers. https://arxiv.org/abs/1612.05017

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