{
  "id": "2207.12985",
  "version": "v1",
  "published": "2022-07-26T15:47:28.000Z",
  "updated": "2022-07-26T15:47:28.000Z",
  "title": "Simple supercuspidal L-packets of symplectic groups over dyadic fields",
  "authors": [
    "Guy Henniart",
    "Masao Oi"
  ],
  "comment": "26 pages",
  "categories": [
    "math.NT",
    "math.RT"
  ],
  "abstract": "We consider the symplectic group $\\mathrm{Sp}_{2n}$ defined over a $p$-adic field $F$, where $p=2$. We prove that every simple supercuspidal representation (in the sense of Gross--Reeder) of $\\mathrm{Sp}_{2n}(F)$ corresponds to an irreducible $L$-parameter under the local Langlands correspondence for $\\mathrm{Sp}_{2n}$ established by Arthur.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-07-26T15:47:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E50",
      "11F70",
      "11L05"
    ],
    "keywords": [
      "simple supercuspidal l-packets",
      "symplectic group",
      "dyadic fields",
      "simple supercuspidal representation",
      "local langlands correspondence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}