{
  "id": "1704.05144",
  "version": "v1",
  "published": "2017-04-17T23:13:56.000Z",
  "updated": "2017-04-17T23:13:56.000Z",
  "title": "Derived equivalences for Symplectic reflection algebras",
  "authors": [
    "Ivan Losev"
  ],
  "comment": "17 pages",
  "categories": [
    "math.RT",
    "math.AG"
  ],
  "abstract": "In this paper we study derived equivalences for Symplectic reflection algebras. We establish a version of the derived localization theorem between categories of modules over Symplectic reflection algebras and categories of coherent sheaves over quantizations of Q-factorial terminalizations of the symplectic quotient singularities. To do this we construct a Procesi sheaf on the terminalization and show that the quantizations of the terminalization are simple sheaves of algebras. We will also sketch some applications: to the generalized Bernstein inequality and to perversity of wall crossing functors.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-04-17T23:13:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16E99",
      "16G99"
    ],
    "keywords": [
      "symplectic reflection algebras",
      "symplectic quotient singularities",
      "generalized bernstein inequality",
      "simple sheaves",
      "derived localization theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}