{
  "id": "1210.1789",
  "version": "v1",
  "published": "2012-10-05T15:33:12.000Z",
  "updated": "2012-10-05T15:33:12.000Z",
  "title": "Whittaker models and the integral Bernstein center for GL_n",
  "authors": [
    "David Helm"
  ],
  "comment": "17 pages",
  "categories": [
    "math.NT",
    "math.RT"
  ],
  "abstract": "We establish integral analogues of results of Bushnell and Henniart for spaces of Whittaker functions arising from the groups GL_n(F) for F a p-adic field. We apply the resulting theory to the existence of representations arising from the conjectural \"local Langlands correspondence in families\" of Emerton-Helm, and reduce the question of the existence of such representations to a natural conjecture relating the integral Bernstein center of GL_n(F) to the deformation theory of Galois representations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-10-05T15:33:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11S37",
      "11F33",
      "11F70",
      "22E50"
    ],
    "keywords": [
      "integral bernstein center",
      "whittaker models",
      "local langlands correspondence",
      "natural conjecture",
      "galois representations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1210.1789H"
    }
  }
}