{
  "id": "2010.04149",
  "version": "v1",
  "published": "2020-10-08T17:48:42.000Z",
  "updated": "2020-10-08T17:48:42.000Z",
  "title": "Steenrod operations on the de Rham cohomology of algebraic stacks",
  "authors": [
    "Federico Scavia"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "Building up on work of Epstein, May and Drury, we define and investigate the mod $p$ Steenrod operations on the de Rham cohomology of smooth algebraic stacks over a field of characteristic $p>0$. We then compute the action of the operations on the de Rham cohomology of classifying stacks for finite groups, connected reductive groups for which $p$ is not a torsion prime, and (special) orthogonal groups when $p=2$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-10-08T17:48:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "rham cohomology",
      "steenrod operations",
      "smooth algebraic stacks",
      "orthogonal groups",
      "finite groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}