{
  "abstract": "FINDING: Quantum geometric Langlands is being reformulated via factorization algebras and local equivalences, bridging affine flag varieties, quantum groups at roots of unity, and cotangent bundles of partial flag varieties — a convergence of representation theory, algebraic geometry, and number theory.\n\nMATH: - **Roots of unity**: \\( q = e^{2\\pi i / \\ell} \\) (or \\( \\ell \\)-th root), central to quantum group \\( U_q(\\mathfrak{g}) \\) specialization. - **Kazhdan–Lusztig equivalence**: \\( \\text{Rep}(U_q(\\mathfrak{g})) \\cong \\text{Category of modules over affine Lie algebra at negative level} \\) — extended by Gaitsgory via factorization algebras. - **Affine flag variety**: \\( \\mathcal{F}\\ell = G(\\mathbb{C}((t)))/I \\), where \\( I \\) is Iwahori subgroup; its factorization modules encode \\( \\ell \\)-adic sheaves / \\( D \\)-modules. - **Cotangent bundle compactification**: \\( T^*G/P \\) embedded in affine Schubert variety — relates to conormal varieties of Schubert divisors (arXiv:1712.001\n\nAuthor: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com",
  "abstract_shown": true,
  "affiliations": [
    "Independent Researcher, United Kingdom"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Andrew Stewart Caldin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/crrvs7en588hz.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23635391",
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  "id": "crrvs7en588hz",
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  "landing_url": "https://zenodo.org/records/23635391",
  "language": "eng",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
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  "published": "2026-10-25",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/crrvs7en588hz.ris",
  "sources": [
    {
      "first_seen": "2026-11-08T12:21:54Z",
      "native_id": "23635391",
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      "url": "https://zenodo.org/records/23635391"
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  "subjects": [],
  "title": "Factorization Algebras Unify Quantum Geometric Langlands — E8 Intelligence Research",
  "title_text": "Factorization Algebras Unify Quantum Geometric Langlands — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-08T12:21:54Z",
  "url": "https://research.draconitic.com/paper/crrvs7en588hz",
  "venue": "Zenodo",
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}