{
  "id": "1610.06261",
  "version": "v1",
  "published": "2016-10-20T01:21:48.000Z",
  "updated": "2016-10-20T01:21:48.000Z",
  "title": "Algebraic representations and constructible sheaves",
  "authors": [
    "Geordie Williamson"
  ],
  "comment": "Takagi lecture, November 2016. Preliminary version, comments welcome",
  "categories": [
    "math.RT"
  ],
  "abstract": "These are notes for my Takagi lecture at the University of Tokyo in November, 2016. I survey what is known about simple modules for reductive algebraic groups. The emphasis is on characteristic p>0 and Lusztig's character formula. I explain ideas connecting representations and constructible sheaves (Finkelberg-Mirkovic conjecture) in the spirit of the Kazhdan-Lusztig conjecture. I also discuss a conjecture with S. Riche (a theorem for GL_n) which should eventually make computations more feasible.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-10-20T01:21:48.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "constructible sheaves",
      "algebraic representations",
      "lusztigs character formula",
      "explain ideas connecting representations",
      "reductive algebraic groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}