{
  "id": "2211.14254",
  "version": "v1",
  "published": "2022-11-25T17:34:30.000Z",
  "updated": "2022-11-25T17:34:30.000Z",
  "title": "Les conjectures de Weil : origines, approches, généralisations",
  "authors": [
    "Antoine Chambert-Loir"
  ],
  "comment": "S\\'eminaire Bourbaki du vendredi, 6e ann\\'ee, expos\\'e 33 (novembre 2022), in French language",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "Je retracerai l'histoire des conjectures de Weil sur le nombre de solutions d'\\'equations polynomiales dans un corps fini et quelques unes des approches qui ont \\'et\\'e propos\\'ees pour les r\\'esoudre. The Weil conjectures: origins, approaches, generalizations. I recount the history of the conjectures by Weil on the number of solutions of polynomial equations in finite fields, and some of the approaches that have been proposed to solve them.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-11-25T17:34:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14G15",
      "11G20",
      "11G25",
      "11-02",
      "11-03"
    ],
    "keywords": [
      "conjectures",
      "approches qui ont ete proposees",
      "qui ont ete proposees pour",
      "généralisations",
      "equations polynomiales dans"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "fr",
      "license": "arXiv",
      "status": "editable"
    }
  }
}