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OpenAI reports: The Deligne–Drinfeld conjecture

OpenAI reports that the rational Grothendieck–Teichmüller Lie algebra is free on one generator in each odd weight starting at three, with the corresponding weight-completed isomorphism.

Sources for this record

What was already known

Constructing individual odd-weight elements does not establish that they freely generate the entire Lie algebra. The target includes both generation and absence of additional relations.

What changed and why it matters

Determines the full generator-and-relation structure predicted by this recognized algebraic conjecture.

The AI contribution

OpenAI attributes these manuscripts to its internal model. The entry does not infer individual human contributions beyond that publisher attribution.

Limitations

The coefficient field is the rationals and the completion is by weight. The claim should not be transferred to other coefficient rings or completions without an additional argument. Preprint. This is a source-statement and significance assessment, not a proof audit. No independent checking or successful formal compilation is asserted by this entry.

Verification evidence

Evidence labels show what supports the claim. Importance rates its impact if correct.

Author claim

The publisher reports the scoped result. AIProofWatch has not independently validated its correctness.

Accessible artifact / proof

The original written argument is accessible. Availability does not establish a successful proof check or Lean verification.

Correction and publication history

2026-10-11 · publication

Historical report added after statement, scope, and importance review. No proof audit or formal checking asserted; subscriber alerts disabled.

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