{
  "id": "1702.05033",
  "version": "v1",
  "published": "2017-02-16T16:12:09.000Z",
  "updated": "2017-02-16T16:12:09.000Z",
  "title": "A Mini-Course on Morava Stabilizer Groups and Their Cohomology",
  "authors": [
    "Hans-Werner Henn"
  ],
  "categories": [
    "math.AT"
  ],
  "abstract": "The Morava stabilizer groups play a dominating role in chromatic stable ho-motopy theory. In fact, for suitable spectra X, for example all finite spectra, thechromatic homotopy type of X at chromatic level n \\textgreater{} 0 and a given prime p islargely controlled by the continuous cohomology of a certain p-adic Lie group Gn,in stable homotopy theory known under the name of Morava stabilizer group oflevel n at p, with coefficients in the corresponding Morava module (En)$\\star$X.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-02-16T16:12:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "cohomology",
      "morava stabilizer groups play",
      "p-adic lie group gn",
      "morava stabilizer group oflevel",
      "mini-course"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}