[en] A strategy to address the inverse Galois problem over Q consists of exploiting the knowledge of Galois representations attached to certain automorphic forms. More precisely, if such forms are carefully chosen, they provide compatible systems of Galois representations satisfying some desired properties, e.g. properties that reflect on the image of the members of the system. In this article we survey some results obtained using this strategy.
Disciplines :
Mathematics
Author, co-author :
Arias De Reyna Dominguez, Sara ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
External co-authors :
no
Language :
English
Title :
Automorphic Galois representations and the inverse Galois problem
Publication date :
2015
Event name :
Quintas Jornadas de Teoría de Números
Event organizer :
Instituto de Matemáticas de la Universidad de Sevilla (IMUS)