{
  "id": "2010.02712",
  "version": "v1",
  "published": "2020-10-06T13:34:22.000Z",
  "updated": "2020-10-06T13:34:22.000Z",
  "title": "Multiplicity of Eisenstein series in cohomology and applications to $GSp_4$ and $G_2$",
  "authors": [
    "Sam Mundy"
  ],
  "comment": "To appear as part of the author's thesis",
  "categories": [
    "math.NT",
    "math.RT"
  ],
  "abstract": "We set up a general framework to compute the exact multiplicity with which certain automorphic representations appear in both the cuspidal and Eisenstein cohomology of locally symmetric spaces. We apply this machinery to Eisenstein series on $GSp_4$ and split $G_2$. In the case of $G_2$, we will also obtain new information about the archimedean components of certain CAP representations using Arthur's conjectures.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-10-06T13:34:22.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "eisenstein series",
      "applications",
      "automorphic representations appear",
      "arthurs conjectures",
      "general framework"
    ],
    "tags": [
      "dissertation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}