{
  "id": "1502.03528",
  "version": "v1",
  "published": "2015-02-12T03:58:44.000Z",
  "updated": "2015-02-12T03:58:44.000Z",
  "title": "The local theta correspondence and the local Gan-Gross-Prasad conjecture for the symplectic-metaplectic case",
  "authors": [
    "Hiraku Atobe"
  ],
  "comment": "82 pages. arXiv admin note: text overlap with arXiv:1409.6824 by other authors",
  "categories": [
    "math.NT",
    "math.RT"
  ],
  "abstract": "We prove the local Gan-Gross-Prasad conjecture for the symplectic-metaplectic case under some assumptions. This is the last case of the local Gan-Gross-Prasad conjectures. We also prove two of Prasad's conjectures on the local theta correspondence in the almost equal rank case.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-02-12T03:58:44.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "local gan-gross-prasad conjecture",
      "local theta correspondence",
      "symplectic-metaplectic case",
      "equal rank case",
      "prasads conjectures"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 82,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150203528A"
    }
  }
}