{
  "id": "0804.4065",
  "version": "v1",
  "published": "2008-04-25T08:58:52.000Z",
  "updated": "2008-04-25T08:58:52.000Z",
  "title": "Geometric construction of cluster algebras and cluster categories",
  "authors": [
    "Karin Baur"
  ],
  "comment": "13 pages, 12 figures. This is an expanded version of a survey talk at the Courant-Colloquium Goettingen Trends in Mathematics, October 2008",
  "journal": "Trends in Mathematics, R. Meyer, T. Schick, Y. Tschinkel (Eds.), Mathematisches Institut, Georg-August-Universit\\\"at G\\\"ottingen, Courant-Colloquium G\\\"ottingen 2007 (2008), 13-30",
  "categories": [
    "math.CO",
    "math.RT"
  ],
  "abstract": "In this note we explain how to obtain cluster algebras from triangulations of (punctured) discs following the approach of S. Fomin, M. Shapiro and D. Thurston. Furthermore, we give a description of m-cluster categories via diagonals (arcs) in (punctured) polygons and of m-cluster categories via powers of translation quivers as given in joint work with R. Marsh.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-04-25T08:58:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "cluster algebras",
      "geometric construction",
      "m-cluster categories",
      "translation quivers",
      "joint work"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1086132,
      "adsabs": "2008arXiv0804.4065B"
    }
  }
}