{
  "id": "1107.2159",
  "version": "v1",
  "published": "2011-07-11T22:24:02.000Z",
  "updated": "2011-07-11T22:24:02.000Z",
  "title": "Class field theory as a dynamical system",
  "authors": [
    "Gunther Cornelissen"
  ],
  "comment": "5 pages",
  "categories": [
    "math.NT",
    "math.DG",
    "math.DS",
    "math.FA"
  ],
  "abstract": "This is the text from a talk at the Arbeitstagung 2011, which can serve as an introduction to arxiv:1009.0736 and arXiv:1007.0907. I first discuss how a global field is determined by a certain dynamical system, and how this relates to abelian L-series determining those fields. I then discuss an analog in Riemannian geometry, and how it leads to a metric in the space of closed Riemannian manifolds.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-07-11T22:24:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "class field theory",
      "dynamical system",
      "closed riemannian manifolds",
      "riemannian geometry",
      "global field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1107.2159C"
    }
  }
}