{
  "id": "2003.11484",
  "version": "v1",
  "published": "2020-03-25T16:25:26.000Z",
  "updated": "2020-03-25T16:25:26.000Z",
  "title": "An Approach to the Characterization of the Local Langlands Correspondence",
  "authors": [
    "Alexander Bertoloni Meli",
    "Alex Youcis"
  ],
  "comment": "16 pages, comments welcome",
  "categories": [
    "math.NT",
    "math.RT"
  ],
  "abstract": "In this paper, we give a method for characterizing the local Langlands conjectures in the vein of Scholze's alternate proof of the local Langlands conjecture for $\\mathrm{GL}_n$. More specifically, we show that if a local Langlands correspondence satisfies a Scholze--Shin equation, as in the paper of Scholze and Shin, in addition to the usual desiderata expected of such a correspondence then these properties uniquely characterize the correspondence.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-03-25T16:25:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11S37",
      "22E50"
    ],
    "keywords": [
      "local langlands conjecture",
      "local langlands correspondence satisfies",
      "characterization",
      "scholzes alternate proof",
      "scholze-shin equation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}