{
  "id": "1805.05888",
  "version": "v1",
  "published": "2018-05-15T16:22:44.000Z",
  "updated": "2018-05-15T16:22:44.000Z",
  "title": "The $\\ell$-modular local Langlands correspondence and local factors",
  "authors": [
    "Robert Kurinczuk",
    "Nadir Matringe"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "Let $F$ be a non-archimedean local field of residual characteristic $p$, $\\ell\\neq p$ be a prime number, and $\\mathrm{W}_F$ the Weil group of $F$. We classify the indecomposable $\\mathrm{W}_F$-semisimple Deligne $\\overline{\\mathbb{F}_\\ell}$-representations in terms of the irreducible $\\overline{\\mathbb{F}_\\ell}$-representations of $\\mathrm{W}_F$, and extend constructions of Artin-Deligne local factors to this setting. Finally, we define a variant of the $\\ell$-modular local Langlands correspondence which satisfies a preservation of local factors statement for generic representations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-05-15T16:22:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E50",
      "11F70"
    ],
    "keywords": [
      "modular local langlands correspondence",
      "non-archimedean local field",
      "local factors statement",
      "artin-deligne local factors",
      "residual characteristic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}