{
  "id": "math/0205022",
  "version": "v1",
  "published": "2002-05-02T11:42:45.000Z",
  "updated": "2002-05-02T11:42:45.000Z",
  "title": "A guide to the reduction modulo p of Shimura varieties",
  "authors": [
    "M. Rapoport"
  ],
  "comment": "AMS-TeX, 40 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "This is a report on results and methods in the reduction modulo p of Shimura varieties with parahoric level structure. In the first part, the local theory, we explain the concepts of parahoric subgroups, of the mu-admissible and mu-permissible subsets of the Iwahori-Weyl group, of the corresponding union of affine Deligne-Lusztig varieties and of local models. In the second part, the global theory, we use these concepts to formulate conjectures on the points in the reduction modulo p of Shimura varieties with parahoric level structure.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-05-02T11:42:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14G35",
      "11G18"
    ],
    "keywords": [
      "shimura varieties",
      "reduction modulo",
      "parahoric level structure",
      "affine deligne-lusztig varieties",
      "global theory"
    ],
    "note": {
      "typesetting": "AMS-TeX",
      "pages": 40,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......5022R"
    }
  }
}