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Automorphic Galois representations and the inverse Galois problem

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 نشر من قبل Sara Arias-de-Reyna
 تاريخ النشر 2013
  مجال البحث
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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.



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