{
  "id": "1712.02526",
  "version": "v1",
  "published": "2017-12-07T07:59:00.000Z",
  "updated": "2017-12-07T07:59:00.000Z",
  "title": "High Dimensional Expanders",
  "authors": [
    "Alexander Lubotzky"
  ],
  "comment": "Paper to be presented as a Plenary talk at ICM 2018",
  "categories": [
    "math.GR",
    "math.CO",
    "math.GT",
    "math.RT"
  ],
  "abstract": "Expander graphs have been, during the last five decades, the subject of a most fruitful interaction between pure mathematics and computer science, with influence and applications going both ways (cf. [Lub94], [HLW06], [Lub12] and the references therein). In the last decade, a theory of \"high dimensional expanders\" has begun to emerge. The goal of the current paper is to describe some paths of this new area of study.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-12-07T07:59:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "high dimensional expanders",
      "pure mathematics",
      "computer science",
      "current paper",
      "expander graphs"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}