{
  "id": "2205.02019",
  "version": "v1",
  "published": "2022-05-04T11:59:18.000Z",
  "updated": "2022-05-04T11:59:18.000Z",
  "title": "Representations of $p$-adic groups over coefficient rings",
  "authors": [
    "Marie-France Vignéras"
  ],
  "comment": "Survey article prepared for the Proceedings of the I.C.M. 2022. Comments are welcome",
  "categories": [
    "math.RT",
    "math.NT"
  ],
  "abstract": "Motivated by the Langlands program in representation theory, number theory and geometry, the theory of representations of a reductive $p$-adic group over a coefficient ring different from the field of complex numbers has been widely developped during the last two decades. This article provides a survey of basic results obtained in the 21st century.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-05-04T11:59:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F70",
      "20C08",
      "20C20"
    ],
    "keywords": [
      "adic group",
      "coefficient ring",
      "complex numbers",
      "number theory",
      "21st century"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}