{
  "abstract": "We give a geometric analogue of Kottwitz-Shelstad transfer for a general class of reductive groups over p-adic fields with cyclic component groups of trivial or prime order. We prove that this geometric transfer coincides with Kottwitz-Shelstad transfer, adapted to the language of disconnected groups, assuming the local Langlands correspondence satisfying certain desiderata, including the Kazhdan-Lusztig hypothesis for the ambient group and its endoscopic groups. As an application of this geometrization, we prove Vogan's conjecture on local Arthur packets over p-adic fields: for quasisplit classical groups and their pure inner forms, all local Arthur packets are ABV-packets, and the distributions attached to these ABV-packets of Arthur type satisfy Arthur's local conjectures on twisted endoscopic character relations. This demonstrates the following general principle: for any reductive group G over a local field, an Arthur packet should be defined as an ABV-packet of Arthur type, equipped with the endoscopic pairing calculated by traces of actions on vanishing cycles or microlocalizations.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.03342",
  "author_total": 7,
  "authors": [
    {
      "name": "Clifton Cunningham"
    },
    {
      "name": "Alexander Hazeltine"
    },
    {
      "name": "Baiying Liu"
    },
    {
      "name": "Chi-Heng Lo"
    },
    {
      "name": "Mishty Ray"
    },
    {
      "name": "Bin Xu"
    },
    {
      "name": "Jörg Schürmann"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1m0a8jh0qba3a.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.03342",
  "fulltext_url": null,
  "id": "1m0a8jh0qba3a",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.03342",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.NT"
    ],
    [
      "arxiv",
      "math.RT"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.03342",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1m0a8jh0qba3a.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:14Z",
      "native_id": "2611.03342",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.03342"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Geometrization of Kottwitz-Shelstad transfer and Vogan's conjecture on local Arthur packets",
  "title_text": "Geometrization of Kottwitz-Shelstad transfer and Vogan's conjecture on local Arthur packets",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:28Z",
  "url": "https://research.draconitic.com/paper/1m0a8jh0qba3a",
  "venue": "arXiv",
  "versions": []
}