{
  "id": "math/0502040",
  "version": "v1",
  "published": "2005-02-02T04:42:38.000Z",
  "updated": "2005-02-02T04:42:38.000Z",
  "title": "Experimentation and conjectures in the real Schubert calculus for flag manifolds (extended abstract)",
  "authors": [
    "James Ruffo",
    "Yuval Sivan",
    "Evgenia Soprunova",
    "Frank Sottile"
  ],
  "comment": "Extended abstract, 12 pages, 4 .eps figures",
  "categories": [
    "math.AG"
  ],
  "abstract": "The Shapiro conjecture in the real Schubert calculus fails to hold for flag manifolds, but in a very interesting way. In this extended abstract, we give a refinement of that conjecture for the flag manifold and present massive experimentation (over 12 GigaHertz-Years) that supports our refined conjecture. We also establish relationships between different cases of the conjecture and describe some new phenomena uncovered in this experimentation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-02-02T04:42:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14N15",
      "14P99",
      "14Q99"
    ],
    "keywords": [
      "flag manifold",
      "extended abstract",
      "real schubert calculus fails",
      "shapiro conjecture",
      "gigahertz-years"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......2040R"
    }
  }
}