Reference : Automorphic Galois representations and the inverse Galois problem
Scientific congresses, symposiums and conference proceedings : Paper published in a book
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/12897
Automorphic Galois representations and the inverse Galois problem
English
Arias De Reyna Dominguez, Sara mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit]
2015
Trends in Number Theory
Chamizo, Fernando
Guàrdia, Jordi
Rojas-León, Antonio
Tornero, José María
American Mathematical Society
Contemporary Mathematics; 649
1-16
Yes
Yes
International
978-0-8218-9858-1
Quintas Jornadas de Teoría de Números
from 08-07-2013 to 12-08-2013
Instituto de Matemáticas de la Universidad de Sevilla (IMUS)
Sevilla
Spain
[en] Mathematics - Number Theory ; 11F80 ; 12F12
[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.
Researchers
http://hdl.handle.net/10993/12897
10.1090/conm/649

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