{
  "abstract": "We prove the S = T $S=T$ upper S equals upper T conjecture proposed by Xiao–Zhu in [XZ17], making use of Scholze’s theory of diamonds and v-stacks and Fargues–Scholze’s geometric Satake equivalence. Following [XZ18], we deduce the Eichler–Shimura relation for Shimura varieties of Hodge type.",
  "abstract_shown": true,
  "affiliations": [
    "Morningside Center for Mathematics"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Zhiyou Wu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9jn4zj0b3vedm.bib",
  "cited_by": 0,
  "doi": "10.1017/fms.2026.10271",
  "fulltext_url": null,
  "id": "9jn4zj0b3vedm",
  "issns": [
    "2050-5094"
  ],
  "landing_url": "https://www.cambridge.org/core/product/identifier/S2050509426102710/type/journal_article",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [],
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  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-04",
  "publisher": "Cambridge University Press (CUP)",
  "ris": "https://research.draconitic.com/paper/9jn4zj0b3vedm.ris",
  "sources": [
    {
      "first_seen": "2026-11-04T12:20:56Z",
      "native_id": "10.1017/fms.2026.10271",
      "source": "crossref",
      "url": "https://www.cambridge.org/core/product/identifier/S2050509426102710/type/journal_article"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "journal-openalex:F26",
      "subfield": "general"
    }
  ],
  "title": "S = T $S=T$ upper S equals upper T for Shimura varieties and moduli spaces of p -adic shtukas",
  "title_text": "S = T S=T upper S equals upper T for Shimura varieties and moduli spaces of p -adic shtukas",
  "type": "peer-reviewed",
  "updated_at": "2026-11-06T00:21:03Z",
  "url": "https://research.draconitic.com/paper/9jn4zj0b3vedm",
  "venue": "Forum of Mathematics, Sigma",
  "versions": []
}