{
  "id": "2108.02086",
  "version": "v1",
  "published": "2021-08-04T14:40:09.000Z",
  "updated": "2021-08-04T14:40:09.000Z",
  "title": "More Arithmetic Fundamental Lemma conjectures: the case of Bessel subgroups",
  "authors": [
    "Wei Zhang"
  ],
  "categories": [
    "math.NT",
    "math.AG",
    "math.RT"
  ],
  "abstract": "We define some formal moduli space of quasi-isogenies of isoclinic $p$-divisible groups with a non-reductive group as the \"structure group\". We then formulate new Arithmetic Fundamental Lemma conjectures for Bessel subgroups in the context of the arithmetic Gan-Gross-Prasad conjectures. Some (very limited) evidence is presented.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-08-04T14:40:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F67",
      "14G35",
      "11G18",
      "11F70"
    ],
    "keywords": [
      "arithmetic fundamental lemma conjectures",
      "bessel subgroups",
      "arithmetic gan-gross-prasad conjectures",
      "formal moduli space",
      "structure group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}