{
  "id": "1312.7483",
  "version": "v3",
  "published": "2013-12-29T00:30:58.000Z",
  "updated": "2014-09-28T18:39:45.000Z",
  "title": "Some geometric facets of the Langlands correspondence for real groups",
  "authors": [
    "Rahbar Virk"
  ],
  "comment": "proof of Lemma 3.3 clarified; typos fixed; some figures added",
  "categories": [
    "math.RT"
  ],
  "abstract": "This note concerns geometric aspects of the local Langlands correspondence for real groups as extended from Langlands' original work by Adams-Barbasch-Vogan, and further (conjectural) formulations by W. Soergel. The main result concerns purity (in the sense of weights in Hodge theory) of equivariant extension groups between simple objects on the Adams-Barbasch-Vogan geometric parameter space (for trivial infinitesimal character).",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-06-18T19:35:07.000Z",
      "comment": "minor typos fixed; references updated",
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2014-09-28T18:39:45.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "real groups",
      "geometric facets",
      "note concerns geometric aspects",
      "adams-barbasch-vogan geometric parameter space",
      "main result concerns purity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1312.7483V"
    }
  }
}