{
  "abstract": "Let k be a field endowed with a complex embedding, and let G mot $\\mathcal {G}_{\\mathrm {mot}}$ script upper G Subscript mot be the associated motivic Galois group. The goal of this paper is to show that G mot $\\mathcal {G}_{\\mathrm {mot}}$ script upper G Subscript mot admits a natural manifestation in anabelian geometry. Roughly speaking, we prove that G mot $\\mathcal {G}_{\\mathrm {mot}}$ script upper G Subscript mot coincides with the automorphism group of the functor X ↦ π 1 geo ( X ) $X\\mapsto \\pi _1^{\\mathrm {geo}}(X)$ upper X right arrow from bar pi 1 Superscript geo Baseline left parenthesis upper X right parenthesis sending a k -variety X to the geometric completion of its topological fundamental group. This can be considered as a motivic version of the Ihara–Matsumoto–Oda Conjecture, greatly generalised and proven by Pop. In a sequel to this paper, we will develop the parallel story for the ℓ $\\ell $ script l -adic realisation. For this reason, many of the intermediate results are developed at a greater level of generality than strictly necessary for the main results proven here.",
  "abstract_shown": true,
  "affiliations": [
    "University of Zurich"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Joseph Ayoub",
      "orcid": "0009-0009-3973-6828"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9avp44x6sq7hg.bib",
  "cited_by": 0,
  "doi": "10.1017/fms.2026.10289",
  "fulltext_url": null,
  "id": "9avp44x6sq7hg",
  "issns": [
    "2050-5094"
  ],
  "landing_url": "https://www.cambridge.org/core/product/identifier/S2050509426102898/type/journal_article",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2608|Algebraic Geometry and Number Theory"
    ]
  ],
  "openalex": "W7223794291",
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-27",
  "publisher": "Cambridge University Press (CUP)",
  "ris": "https://research.draconitic.com/paper/9avp44x6sq7hg.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:20Z",
      "native_id": "10.1017/fms.2026.10289",
      "source": "crossref",
      "url": "https://www.cambridge.org/core/product/identifier/S2050509426102898/type/journal_article"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2608|Algebraic Geometry and Number Theory",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Anabelian presentation of the motivic Galois group in characteristic zero",
  "title_text": "Anabelian presentation of the motivic Galois group in characteristic zero",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:18:20Z",
  "url": "https://research.draconitic.com/paper/9avp44x6sq7hg",
  "venue": "Forum of Mathematics, Sigma",
  "versions": []
}