{
  "id": "1311.5142",
  "version": "v1",
  "published": "2013-11-20T17:19:02.000Z",
  "updated": "2013-11-20T17:19:02.000Z",
  "title": "Automorphic Galois representations and the inverse Galois problem",
  "authors": [
    "Sara Arias-de-Reyna"
  ],
  "comment": "This article is an expanded version of the plenary lecture I delivered at the conference Quintas Jornadas de Teor\\'ia de N\\'umeros (July 2013). 14 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-11-20T17:19:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F80",
      "12F12"
    ],
    "keywords": [
      "inverse galois problem",
      "automorphic galois representations",
      "automorphic forms",
      "compatible systems",
      "galois representations satisfying"
    ],
    "tags": [
      "conference paper"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1311.5142A"
    }
  }
}