{
  "id": "2201.03890",
  "version": "v2",
  "published": "2022-01-11T11:37:38.000Z",
  "updated": "2022-01-12T11:05:25.000Z",
  "title": "PBW degenerations, quiver Grassmannians, and toric varieties",
  "authors": [
    "Evgeny Feigin"
  ],
  "comment": "16 pages, ICM 2022 proceedings",
  "categories": [
    "math.RT",
    "math.AG",
    "math.CO"
  ],
  "abstract": "We present a review on the recently discovered link between the Lie theory,the theory of quiver Grassmannians, and various degenerations of flag varieties. Our starting point is the induced Poincar\\'{e}--Birkhoff--Witt filtration on the highest weight representations and the corresponding PBW degenerate flag varieties.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2022-01-12T11:05:25.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quiver grassmannians",
      "pbw degenerations",
      "toric varieties",
      "corresponding pbw degenerate flag varieties",
      "highest weight representations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}