{
  "id": "2206.01027",
  "version": "v1",
  "published": "2022-06-02T13:01:36.000Z",
  "updated": "2022-06-02T13:01:36.000Z",
  "title": "Proof of Vogan's conjecture on Arthur packets: simple parameters of p-adic general linear groups",
  "authors": [
    "Clifton Cunningham",
    "Mishty Ray"
  ],
  "categories": [
    "math.RT",
    "math.NT"
  ],
  "abstract": "In this paper we prove Vogan's conjecture on local Arthur packets, for Arthur parameters of $p$-adic general linear groups that are irreducible and trivial on the Weil group - we refer to such parameters as simple Arthur parameters. This result shows that these Arthur packets may be characterized by properties of simple perverse sheaves on a moduli space of Langlands parameters.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-06-02T13:01:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "p-adic general linear groups",
      "vogans conjecture",
      "simple parameters",
      "simple arthur parameters",
      "local arthur packets"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}