{
  "id": "math/0201256",
  "version": "v4",
  "published": "2002-01-27T01:45:00.000Z",
  "updated": "2007-09-04T15:01:22.000Z",
  "title": "Perverse sheaves on affine flags and nilpotent cone of the Langlands dual group",
  "authors": [
    "Roman Bezrukavnikov"
  ],
  "comment": "This is a continuation of math.RT/0201073. 13 pages; some corrections",
  "categories": [
    "math.RT",
    "math.AG"
  ],
  "abstract": "In math.RT/0201073 we constructed an equivalence between the derived category of equivariant coherent sheaves on the cotangent bundle to the flag variety of a simple algebraic group and a (quotient of) the category of constructible sheaves on the affine flag variety of the Langlands dual group. Below we prove certain properties of this equivalence; provide a similar ``Langlands dual'' description for the category of equivariant coherent sheaves on the nilpotent cone; and deduce some conjectures by Lusztig and Ostrik.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2007-09-04T15:01:22.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "langlands dual group",
      "nilpotent cone",
      "perverse sheaves",
      "equivariant coherent sheaves",
      "affine flag variety"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......1256B"
    }
  }
}