{
  "id": "1609.01166",
  "version": "v1",
  "published": "2016-09-05T13:58:19.000Z",
  "updated": "2016-09-05T13:58:19.000Z",
  "title": "On toric degenerations of flag varieties",
  "authors": [
    "Xin Fang",
    "Ghislain Fourier",
    "Peter Littelmann"
  ],
  "comment": "49 pages including index, to appear in the review volume on the Research Priority Programme SPP 1388 \"Representation theory\"",
  "categories": [
    "math.AG",
    "math.CO",
    "math.RT"
  ],
  "abstract": "Following the historical track in pursuing $T$-equivariant flat toric degenerations of flag varieties and spherical varieties, we explain how powerful tools in algebraic geometry and representation theory, such as canonical bases, Newton-Okounkov bodies, PBW-filtrations and cluster algebras come to push the subject forward.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-09-05T13:58:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14M17",
      "14M15",
      "14M25",
      "52B20"
    ],
    "keywords": [
      "flag varieties",
      "equivariant flat toric degenerations",
      "cluster algebras come",
      "algebraic geometry",
      "representation theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 49,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}