{
  "id": "2311.17700",
  "version": "v1",
  "published": "2023-11-29T15:06:23.000Z",
  "updated": "2023-11-29T15:06:23.000Z",
  "title": "Local newforms and spherical characters for unitary groups",
  "authors": [
    "Gefei Dang"
  ],
  "categories": [
    "math.RT",
    "math.NT"
  ],
  "abstract": "We prove a smooth transfer statement analogous to Jacquet-Rallis's fundamental lemma, use it to compute a local spherical character appearing in the Ichino-Ikeda conjecture, and prove a statement on the existence of local newforms for unitary groups as a corollary.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-11-29T15:06:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "unitary groups",
      "local newforms",
      "jacquet-ralliss fundamental lemma",
      "ichino-ikeda conjecture",
      "smooth transfer statement analogous"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}