{
  "id": "1310.3306",
  "version": "v1",
  "published": "2013-10-11T22:40:11.000Z",
  "updated": "2013-10-11T22:40:11.000Z",
  "title": "Stability of character sums for positive-depth, supercuspidal representations",
  "authors": [
    "Stephen DeBacker",
    "Loren Spice"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "We re-write the character formul{\\ae} of Adler and the second-named author in a form amenable to explicit computations in $p$-adic harmonic analysis, and use them to prove the stability of character sums for a modification of Reeder's conjectural positive-depth, unramified, toral supercuspidal L-packets.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-10-11T22:40:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E50",
      "22E35"
    ],
    "keywords": [
      "character sums",
      "supercuspidal representations",
      "adic harmonic analysis",
      "reeders conjectural positive-depth",
      "toral supercuspidal l-packets"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1310.3306D"
    }
  }
}