{
  "id": "1602.01299",
  "version": "v1",
  "published": "2016-02-03T13:56:05.000Z",
  "updated": "2016-02-03T13:56:05.000Z",
  "title": "Local Theta correspondence of Tempered Representations and Langlands parameters",
  "authors": [
    "Hiraku Atobe",
    "Wee Teck Gan"
  ],
  "comment": "45 pages",
  "categories": [
    "math.NT",
    "math.RT"
  ],
  "abstract": "In this paper, we give an explicit determination of the theta lifting for symplectic-orthogonal and unitary dual pairs over a nonarchimedean field $F$ of characteristic $0$. We determine when theta lifts of tempered representations are nonzero, and determine the theta lifts in terms of the local Langlands correspondence.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-02-03T13:56:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "local theta correspondence",
      "tempered representations",
      "langlands parameters",
      "theta lifts",
      "local langlands correspondence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 45,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160201299A"
    }
  }
}