What was already known
Local irrational-level point-category equivalences, W-algebra duality, ordinary geometric Langlands, and global Whittaker comparisons supplied parts of the program. The global unramified inverse-level equivalence for the full bundle categories remained conjectural (manuscript introduction, Context and prior work, pp. 3–4).
AI involvement
OpenAI credits itself as manuscript author and states that its internal frontier model produced the results in this release. Individual human input is not detailed enough to establish task-only autonomy.
OpenAI is named as author on the manuscript, and its release attributes the results to an internal frontier model. The individual human input is not detailed enough to establish autonomy.
Importance
Proves the unramified quantum geometric Langlands equivalence at every irrational complex level for simple groups.
Limitations
The theorem is unramified and requires c outside Q; it does not cover rational levels or ramified variants.
Technical verification
Reported is the default when evidence for a higher level is insufficient. The OpenAI-authored manuscript reports and argues the result, but the reviewed sources do not document a completed check of the full assessed claim.
Human understanding
Few is the default when evidence for a higher level is insufficient. No named person is documented as explaining the central argument for this assessed contribution.
Correction and publication history
Primary manuscript, attribution, and prior-work review for non-notifying local inclusion.
Read this published revision