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Automorphic Galois representations and the inverse Galois problem
Arias De Reyna Dominguez, Sara
2015In Chamizo, Fernando; Guàrdia, Jordi; Rojas-León, Antonio et al. (Eds.) Trends in Number Theory
Peer reviewed
 

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Keywords :
Mathematics - Number Theory; 11F80; 12F12
Abstract :
[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)
Event place :
Sevilla, Spain
Event date :
from 08-07-2013 to 12-08-2013
By request :
Yes
Audience :
International
Main work title :
Trends in Number Theory
Editor :
Chamizo, Fernando
Guàrdia, Jordi
Rojas-León, Antonio
Tornero, José María
Publisher :
American Mathematical Society
ISBN/EAN :
978-0-8218-9858-1
Collection name :
Contemporary Mathematics; 649
Pages :
1-16
Peer reviewed :
Peer reviewed
Available on ORBilu :
since 10 December 2013

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