{
  "id": "2403.14261",
  "version": "v1",
  "published": "2024-03-21T09:50:25.000Z",
  "updated": "2024-03-21T09:50:25.000Z",
  "title": "The wavefront set: bounds for the Langlands parameter",
  "authors": [
    "Dan Ciubotaru",
    "Ju-Lee Kim"
  ],
  "comment": "15 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "We are interested in the interplay between the Langlands parameter of a smooth irreducible representation of the reductive $p$-adic group and the wavefront set of the representation, an invariant that appears naturally in the local character expansion of Howe and Harish-Chandra.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-03-21T09:50:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E50"
    ],
    "keywords": [
      "langlands parameter",
      "wavefront set",
      "local character expansion",
      "adic group",
      "smooth irreducible representation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}