{
  "abstract": "FINDING: The spectral side of geometric Langlands is being rigorously constructed via singular support of coherent sheaves on quasi-smooth derived schemes, with nilpotent cones stratifying the category; elliptic curve case yields explicit irreducible components and simple-object bijections. | MATH: Core object: \\( \\text{IndCoh}_{\\mathcal{N}}(\\text{LocSys}_{\\check{G}}) \\) — coherent sheaves with singular support in the global nilpotent cone \\( \\mathcal{N} \\subset T^*\\text{LocSys}_{\\check{G}} \\). Quasi-smoothness: \\( \\mathcal{O}_X \\) has finite Tor-amplitude; singular support \\( \\text{SS}(\\mathcal{F}) \\subset T^*X \\) is a conical Lagrangian. For elliptic curves \\( E \\), the stack \\( \\text{Coh}(E) \\) stratification yields irreducible components of the global nilpotent cone; bijection: simple objects of \\( \\text{Per}_\\mathcal{N}(\\text{Coh}(E)) \\leftrightarrow \\) irreducible components of \\( \\mathcal{N}_E \\). No explicit numeric constants appear — the invariants are categorical (Lagrangian\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/d9eq5xber6150.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23446581",
  "fulltext_url": null,
  "id": "d9eq5xber6150",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23446581",
  "language": "eng",
  "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": null,
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-18",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/d9eq5xber6150.ris",
  "sources": [
    {
      "first_seen": "2026-11-01T12:21:57Z",
      "native_id": "23446581",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23446581"
    }
  ],
  "subjects": [],
  "title": "Singular Support and Nilpotent Cones in Spectral Geometric Langlands — E8 Intelligence Research",
  "title_text": "Singular Support and Nilpotent Cones in Spectral Geometric Langlands — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-01T12:21:57Z",
  "url": "https://research.draconitic.com/paper/d9eq5xber6150",
  "venue": "Zenodo",
  "versions": []
}