{
  "id": "1107.5989",
  "version": "v1",
  "published": "2011-07-29T15:01:10.000Z",
  "updated": "2011-07-29T15:01:10.000Z",
  "title": "On the automorphy of $l$-adic Galois representations with small residual image",
  "authors": [
    "Jack Thorne"
  ],
  "comment": "59 pages. To appear in the Journal of the Institute of Mathematics of Jussieu",
  "categories": [
    "math.NT"
  ],
  "abstract": "We prove new automorphy lifting theorems for essentially conjugate self-dual Galois representations into $GL_n$. Existing theorems require that the residual representation have 'big' image, in a certain technical sense. Our theorems are based on a strengthening of the Taylor-Wiles method which allows one to weaken this hypothesis.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-07-29T15:01:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "adic galois representations",
      "small residual image",
      "essentially conjugate self-dual galois representations",
      "automorphy lifting theorems",
      "taylor-wiles method"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 59,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1107.5989T"
    }
  }
}