{
  "id": "2302.10300",
  "version": "v1",
  "published": "2023-02-20T20:42:34.000Z",
  "updated": "2023-02-20T20:42:34.000Z",
  "title": "Proof of Vogan's conjecture on Arthur packets for $\\mathop{GL}_n$ over $p$-adic fields",
  "authors": [
    "Clifton Cunningham",
    "Mishty Ray"
  ],
  "categories": [
    "math.RT",
    "math.NT"
  ],
  "abstract": "In this paper we prove Vogan's conjecture on Arthur packets for general linear groups over $p$-adic fields, building on earlier work. The proof uses a special case of endoscopic lifting, adapted from the 1992 book by Adams, Barbasch and Vogan, where it was articulated for real groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-02-20T20:42:34.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "vogans conjecture",
      "arthur packets",
      "adic fields",
      "general linear groups",
      "real groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}