{
  "id": "1509.06645",
  "version": "v1",
  "published": "2015-09-22T15:29:24.000Z",
  "updated": "2015-09-22T15:29:24.000Z",
  "title": "Asymptotics of automorphic spectra and the trace formula",
  "authors": [
    "Werner Mueller"
  ],
  "comment": "43 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "This paper is a survey article on the limiting behavior of the discrete spectrum of the right regular representation in $L^2(\\Gamma\\bs G)$ for a lattice $\\Gamma$ in a reductive group $G$ over a number field. We discuss various aspects of the Weyl law, the limit multiplicity problem, the analytic torsion, and applications to the cohomology of arithmetic groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-09-22T15:29:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F70"
    ],
    "keywords": [
      "automorphic spectra",
      "trace formula",
      "asymptotics",
      "limit multiplicity problem",
      "right regular representation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 43,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150906645M"
    }
  }
}