{
  "id": "1310.2585",
  "version": "v4",
  "published": "2013-10-09T19:01:33.000Z",
  "updated": "2014-01-21T23:03:48.000Z",
  "title": "The Local Langlands Correspondence for Simple Supercuspidal Representations of GL_n(F)",
  "authors": [
    "Moshe Adrian",
    "Baiying Liu"
  ],
  "comment": "35 pages. Minor changes to introduction",
  "categories": [
    "math.RT",
    "math.NT"
  ],
  "abstract": "Let F be a non-archimedean local field of characteristic zero with residual characteristic p. In this paper, we present a simple proof and construction of the local Langlands correspondence for simple supercuspidal representations of GL_n(F), when p does not divide n. As an application, we prove Jacquet's conjecture on the local converse problem for GL_n(F) in the case of simple supercuspidal representations, for arbitrary p.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2014-01-21T23:03:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11S37",
      "22E50"
    ],
    "keywords": [
      "simple supercuspidal representations",
      "local langlands correspondence",
      "non-archimedean local field",
      "local converse problem",
      "characteristic zero"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 35,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1310.2585A"
    }
  }
}