{
  "id": "2107.04111",
  "version": "v1",
  "published": "2021-07-08T21:30:07.000Z",
  "updated": "2021-07-08T21:30:07.000Z",
  "title": "Totaro's inequality for classifying spaces",
  "authors": [
    "Bhargav Bhatt",
    "Shizhang Li"
  ],
  "comment": "4 pages, comment welcome",
  "categories": [
    "math.AG",
    "math.NT",
    "math.RT"
  ],
  "abstract": "For a complex Lie group G and a prime number p, Totaro had conjectured that the dimension of the singular cohomology with Z/p-coefficients of classifying space of G is bounded above by that of the de Rham cohomology of the classifying stack of (the split form of) G in characteristic p. This conjecture was recently proven by Kubrak--Prikhodko. In this note, we give a shorter proof.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-07-08T21:30:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "classifying space",
      "totaros inequality",
      "complex lie group",
      "shorter proof",
      "prime number"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}