{
  "id": "1209.5352",
  "version": "v5",
  "published": "2012-09-24T18:15:14.000Z",
  "updated": "2015-09-17T19:26:19.000Z",
  "title": "Chtoucas pour les groupes réductifs et paramétrisation de Langlands globale",
  "authors": [
    "Vincent Lafforgue"
  ],
  "comment": "in French",
  "categories": [
    "math.AG",
    "math.RT"
  ],
  "abstract": "For any reductive group G over a global function field, we use the cohomology of G-shtukas with multiple modifications and the geometric Satake equivalence to prove the global Langlands correspondence for G in the direction \"from automorphic to Galois\". Moreover we obtain a canonical decomposition of the spaces of cuspidal automorphic forms indexed by global Langlands parameters. The proof does not rely at all on the Arthur-Selberg trace formula.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2013-10-14T14:08:47.000Z",
      "comment": "Compared to the previous version, the title has been changed for greater intelligibility and in prevision of future works. The main statements are the same but the redaction has been improved",
      "journal": null,
      "doi": null
    },
    {
      "version": "v5",
      "updated": "2015-09-17T19:26:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14G35",
      "14H60",
      "11F70"
    ],
    "keywords": [
      "chtoucas pour",
      "groupes réductifs",
      "langlands globale",
      "paramétrisation",
      "global function field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "fr",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1209.5352L"
    }
  }
}