[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 :
Mathematics
Author, co-author :
Tsaknias, Panagiotis
Wiese, Gabor ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
External co-authors :
no
Language :
English
Title :
Topics on modular Galois representations modulo prime powers
Publication date :
2018
Main work title :
Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory