{
  "id": "0704.0662",
  "version": "v1",
  "published": "2007-04-04T23:43:52.000Z",
  "updated": "2007-04-04T23:43:52.000Z",
  "title": "Bounds for Multiplicities of Unitary Representations of Cohomological Type in Spaces of Cusp Forms",
  "authors": [
    "Frank Calegari",
    "Matthew Emerton"
  ],
  "comment": "submitted",
  "categories": [
    "math.NT",
    "math.RT"
  ],
  "abstract": "Let $\\Goo$ be a semisimple real Lie group with unitary dual $\\Ghat$. The goal of this note is to produce new upper bounds for the multiplicities with which representations $\\pi \\in \\Ghat$ of cohomological type appear in certain spaces of cusp forms on $\\Goo$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-04-04T23:43:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E40",
      "11F75",
      "11F70"
    ],
    "keywords": [
      "cusp forms",
      "unitary representations",
      "multiplicities",
      "semisimple real lie group",
      "unitary dual"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0704.0662C"
    }
  }
}