{
  "id": "1802.01774",
  "version": "v1",
  "published": "2018-02-06T03:10:58.000Z",
  "updated": "2018-02-06T03:10:58.000Z",
  "title": "Vanishing and nonvanishing in local theta correspondence",
  "authors": [
    "Chen-Bo Zhu"
  ],
  "comment": "Submitted to the conference proceedings in honor of Joseph Bernstein",
  "categories": [
    "math.RT"
  ],
  "abstract": "We consider the questions of vanishing and nonvanishing in local theta correspondence and discuss two recent results which help to answer the questions. The first one is concerned with the existence of models of smooth representations and the second one with the \"classical limit\" of $(\\g, K)$-modules, and both depend on certain correspondence of nilpotent orbits arising from a double fiberation of moment maps.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-02-06T03:10:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E46"
    ],
    "keywords": [
      "local theta correspondence",
      "nonvanishing",
      "smooth representations",
      "moment maps",
      "classical limit"
    ],
    "tags": [
      "conference paper"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}