{
  "id": "math/0510026",
  "version": "v1",
  "published": "2005-10-03T03:46:09.000Z",
  "updated": "2005-10-03T03:46:09.000Z",
  "title": "Buildings, elliptic curves, and the K(2)-local sphere",
  "authors": [
    "Mark Behrens"
  ],
  "comment": "41 pages",
  "categories": [
    "math.AT"
  ],
  "abstract": "We investigate a dense subgroup Gamma of the second Morava stabilizer group given by a certain group of quasi-isogenies of a supersingular elliptic curve in characteristic p. The group Gamma acts on the Bruhat-Tits building for GL_2(Q_l) through its action on the l-adic Tate module. This action has finite stabilizers, giving a small resolution for the homotopy fixed point spectrum (E_2^hGamma)^hGal by spectra of topological modular forms. Here, E_2 is a version of Morava E-theory and Gal = Gal(barF_p/F_p).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-10-03T03:46:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "second morava stabilizer group",
      "group gamma acts",
      "homotopy fixed point spectrum",
      "l-adic tate module",
      "supersingular elliptic curve"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 41,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.....10026B"
    }
  }
}