{
  "id": "1004.5323",
  "version": "v2",
  "published": "2010-04-29T15:26:27.000Z",
  "updated": "2011-04-05T06:09:41.000Z",
  "title": "Geometrization of Trace Formulas",
  "authors": [
    "Edward Frenkel",
    "Ngo Bao Chau"
  ],
  "comment": "62 pages; conjectural Atiyah-Bott-Lefschetz fixed point formula for stacks is elucidated. To appear in Bulletin of Mathematical Sciences, Springer-Verlag",
  "categories": [
    "math.RT",
    "math.AG",
    "math.NT"
  ],
  "abstract": "Following our joint work arXiv:1003.4578 with Robert Langlands, we make the first steps toward developing geometric methods for analyzing trace formulas in the case of the function field of a curve defined over a finite field. We also suggest a conjectural framework of geometric trace formulas for curves defined over the complex field, which exploits the categorical version of the geometric Langlands correspondence.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-04-05T06:09:41.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "geometrization",
      "geometric trace formulas",
      "geometric langlands correspondence",
      "robert langlands",
      "analyzing trace formulas"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 62,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1004.5323F"
    }
  }
}