{
  "id": "math/0602255",
  "version": "v2",
  "published": "2006-02-12T17:47:02.000Z",
  "updated": "2006-12-04T17:01:37.000Z",
  "title": "Geometric Langlands correspondence for D-modules in prime characteristic: the GL(n) case",
  "authors": [
    "Roman Bezrukavnikov",
    "Alexander Braverman"
  ],
  "comment": "Dedicated to R.MacPherson on the occasion of his 60th birthday",
  "journal": "Pure Appl. Math. Q. 3 (2007), no. 1, Special Issue: In honor of Robert D. MacPherson. Part 3, 153-179",
  "categories": [
    "math.AG",
    "math.RT"
  ],
  "abstract": "Let X be a smooth projective curve over an algebraically closed field k of characteristic p>0. In this paper we explore the relation between algebraic D-modules on the moduli space $Bun_n$ of vector bundles of rank n on X and coherent sheaves on the moduli space $Loc_n$ of vector bundles endowed with a connection (in the way predicted by Beilinson and Drinfeld for k of characteristic 0). The main technical tools used in the paper are the geometry of the Hitchin system and the Azumaya property of the algebra of differential operators in characteristic p.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-12-04T17:01:37.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "geometric langlands correspondence",
      "prime characteristic",
      "vector bundles",
      "moduli space",
      "azumaya property"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 715215,
      "adsabs": "2006math......2255B"
    }
  }
}