{
  "id": "1812.04096",
  "version": "v1",
  "published": "2018-12-10T21:16:37.000Z",
  "updated": "2018-12-10T21:16:37.000Z",
  "title": "Linear periods and distinguished local parameters",
  "authors": [
    "Jerrod Manford Smith"
  ],
  "comment": "10 pages, submitted",
  "categories": [
    "math.RT",
    "math.NT"
  ],
  "abstract": "Let $F$ be a nonarchimedean local field of characteristic zero and odd residual characteristic. Let $X$ be the $p$-adic symmetric space $X = H \\backslash G$, where $G = \\mathbf{GL}_{2n}(F)$ and $H = \\mathbf{GL}_n(F) \\times \\mathbf{GL}_n(F)$. We verify a conjecture of Sakellaridis and Venkatesh on the Langlands parameters of certain representations in the discrete spectrum of $X$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-12-10T21:16:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E50",
      "11F70"
    ],
    "keywords": [
      "distinguished local parameters",
      "linear periods",
      "adic symmetric space",
      "odd residual characteristic",
      "nonarchimedean local field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}