{
  "id": "2205.06219",
  "version": "v1",
  "published": "2022-05-12T17:04:08.000Z",
  "updated": "2022-05-12T17:04:08.000Z",
  "title": "The Residual Spectrum of $F_4$ Arising from Degenerate Eisenstein Series",
  "authors": [
    "Hezi Halawi"
  ],
  "comment": "PhD thesis",
  "categories": [
    "math.NT"
  ],
  "abstract": "Let $G$ be a split group of type $F_4$ defined over a number field. We study the square-integrable automorphic representations of $G$ that can be realized as leading terms of degenerate Eisenstein series associated to various maximal parabolic subgroups. These representations appear in the residual spectrum. The local representation theory over finite places plays a central role in our work.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-05-12T17:04:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "degenerate eisenstein series",
      "residual spectrum",
      "maximal parabolic subgroups",
      "local representation theory",
      "finite places plays"
    ],
    "tags": [
      "dissertation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}