{
  "id": "2005.07919",
  "version": "v1",
  "published": "2020-05-16T09:27:31.000Z",
  "updated": "2020-05-16T09:27:31.000Z",
  "title": "Hodge Theory of $p$-adic varieties: a survey",
  "authors": [
    "Wiesaława Nizioł"
  ],
  "comment": "Comments are welcome !",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "$p$-adic Hodge Theory is one of the most powerful tools in modern Arithmetic Geometry. In this survey, we will review $p$-adic Hodge Theory for algebraic varieties, present current developments in $p$-adic Hodge Theory for analytic varieties, and discuss some of its applications to problems in Number Theory. This is an extended version of a talk at the Jubilee Congress for the 100th anniversary of the Polish Mathematical Society, Krak\\'ow, 2019.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-05-16T09:27:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "adic hodge theory",
      "adic varieties",
      "100th anniversary",
      "jubilee congress",
      "number theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}