{
  "id": "2208.13500",
  "version": "v1",
  "published": "2022-08-29T11:09:18.000Z",
  "updated": "2022-08-29T11:09:18.000Z",
  "title": "Fourier coefficients and a filtration on Shv(Bun_G)",
  "authors": [
    "Sergey Lysenko"
  ],
  "comment": "25 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "We define a filtration by DG-subcategories on the DG-category Shv(Bun_G) of sheaves on the moduli of G-torsors on a curve, which is stable under the action of Hecke functors. We formulate a conjecture relating this filtration with another filtration on the spectral side of the categorical geometric Langlands conjecture. We also formulate a conjectural compatibility with the parabolic induction.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-08-29T11:09:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11R39",
      "14H60"
    ],
    "keywords": [
      "fourier coefficients",
      "filtration",
      "categorical geometric langlands conjecture",
      "parabolic induction",
      "hecke functors"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}