{
  "id": "2009.13947",
  "version": "v1",
  "published": "2020-09-23T17:33:11.000Z",
  "updated": "2020-09-23T17:33:11.000Z",
  "title": "A Local Trace Formula for the Local Gan-Gross-Prasad Conjecture for Special Orthogonal Groups",
  "authors": [
    "Zhilin Luo"
  ],
  "comment": "comments are welcome. arXiv admin note: substantial text overlap with arXiv:1506.01452 by other authors",
  "categories": [
    "math.RT",
    "math.NT"
  ],
  "abstract": "Through combining the work of Jean-Loup Waldspurger (\\cite{waldspurger10} and \\cite{waldspurgertemperedggp}) and Rapha\\\"el Beuzart-Plessis (\\cite{beuzart2015local}), we give a proof for the tempered part of the local Gan-Gross-Prasad conjecture (\\cite{ggporiginal}) for special orthogonal groups over any local fields of characteristic zero, which was already proved by Waldspurger over $p$-adic fields.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-09-23T17:33:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "special orthogonal groups",
      "local gan-gross-prasad conjecture",
      "local trace formula",
      "characteristic zero",
      "jean-loup waldspurger"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}