{
  "id": "1610.06246",
  "version": "v1",
  "published": "2016-10-19T23:53:20.000Z",
  "updated": "2016-10-19T23:53:20.000Z",
  "title": "The Hodge theory of the Hecke category",
  "authors": [
    "Geordie Williamson"
  ],
  "comment": "20 pages, ECM 2016 lecture",
  "categories": [
    "math.RT",
    "math.AG",
    "math.CO"
  ],
  "abstract": "Ideas from Hodge theory have found important applications in representation theory. We give a survey of joint work with Ben Elias which uncovers Hodge theoretic structure in the Hecke category (\"Soergel bimodules\"). We also outline similarities and differences to other combinatorial Hodge theories.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-10-19T23:53:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hodge theory",
      "hecke category",
      "uncovers hodge theoretic structure",
      "combinatorial hodge theories",
      "ben elias"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}