{
  "id": "1404.3998",
  "version": "v3",
  "published": "2014-04-15T17:44:57.000Z",
  "updated": "2015-09-17T19:39:10.000Z",
  "title": "Introduction aux chtoucas pour les groupes réductifs et à la paramétrisation de Langlands globale",
  "authors": [
    "Vincent Lafforgue"
  ],
  "comment": "in French. arXiv admin note: substantial text overlap with arXiv:1209.5352",
  "categories": [
    "math.AG",
    "math.RT"
  ],
  "abstract": "This is an introduction to the article \"Chtoucas pour les groupes r\\'eductifs et param\\'etrisation de Langlands globale\", arXiv:1209.5352. We explain all the ideas of the proof. 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": "v2",
      "updated": "2014-04-25T13:38:16.000Z",
      "comment": "in French. Minor changes compared to the previous version. arXiv admin note: substantial text overlap with arXiv:1209.5352",
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2015-09-17T19:39:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14G35",
      "14H60",
      "11F70"
    ],
    "keywords": [
      "introduction aux chtoucas pour",
      "langlands globale",
      "groupes réductifs",
      "paramétrisation",
      "cuspidal automorphic forms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "fr",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1404.3998L"
    }
  }
}