{
  "id": "1806.11261",
  "version": "v1",
  "published": "2018-06-29T04:09:15.000Z",
  "updated": "2018-06-29T04:09:15.000Z",
  "title": "Differential operators on modular forms (mod p)",
  "authors": [
    "Alexandru Ghitza"
  ],
  "comment": "13 pages; proceedings of the January 2018 Workshop on automorphic forms at RIMS, Kyoto",
  "categories": [
    "math.NT"
  ],
  "abstract": "We give a survey of recent work on the construction of differential operators on various types of modular forms (mod p). We also discuss a framework for determining the effect of such operators on the mod p Galois representations attached to Hecke eigenforms.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-06-29T04:09:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F60",
      "11F80",
      "11F25",
      "11F46",
      "11F55",
      "11F75"
    ],
    "keywords": [
      "modular forms",
      "differential operators",
      "galois representations",
      "hecke eigenforms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}