{
  "id": "1507.05922",
  "version": "v1",
  "published": "2015-07-21T17:39:57.000Z",
  "updated": "2015-07-21T17:39:57.000Z",
  "title": "Torsion in the Coherent Cohomology of Shimura Varieties and Galois Representations",
  "authors": [
    "George Boxer"
  ],
  "comment": "This is the author's PhD Thesis. Comments and corrections welcome!",
  "categories": [
    "math.NT"
  ],
  "abstract": "We introduce a method for producing congruences between Hecke eigenclasses, possibly torsion, in the coherent cohomology of automorphic vector bundles on certain good reduction Shimura varieties. The congruences are produced using some \"generalized Hasse invariants\" adapted to the Ekedahl-Oort stratification of the special fiber.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-07-21T17:39:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "coherent cohomology",
      "galois representations",
      "reduction shimura varieties",
      "automorphic vector bundles",
      "congruences"
    ],
    "tags": [
      "dissertation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150705922B"
    }
  }
}