{
  "id": "1405.3326",
  "version": "v1",
  "published": "2014-05-13T22:57:53.000Z",
  "updated": "2014-05-13T22:57:53.000Z",
  "title": "Modular Representation Theory of Symmetric Groups",
  "authors": [
    "Alexander Kleshchev"
  ],
  "comment": "This is an expository paper for ICM proceedings",
  "categories": [
    "math.RT",
    "math.GR",
    "math.QA"
  ],
  "abstract": "We review some recent advances in modular representation theory of symmetric groups and related Hecke algebras. We discuss connections with Khovanov-Lauda-Rouquier algebras and gradings on the blocks of the group algebras $F\\Sigma_n$, which these connections reveal; graded categorification and connections with quantum groups and crystal bases; modular branching rules and the Mullineaux map; graded cellular structure and graded Specht modules; cuspidal systems for affine KLR algebras and imaginary Schur-Weyl duality, which connects representation theory of these algebras to the usual Schur algebras of smaller rank.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-05-13T22:57:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C30"
    ],
    "keywords": [
      "modular representation theory",
      "symmetric groups",
      "connects representation theory",
      "imaginary schur-weyl duality",
      "affine klr algebras"
    ],
    "tags": [
      "expository article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1405.3326K"
    }
  }
}