[en] 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.
Disciplines :
Mathématiques
Auteur, co-auteur :
Tsaknias, Panagiotis
WIESE, Gabor ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Co-auteurs externes :
no
Langue du document :
Anglais
Titre :
Topics on modular Galois representations modulo prime powers
Date de publication/diffusion :
2018
Titre de l'ouvrage principal :
Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory
