Report: OpenAI Confirms Substantial Progress on Hodge Conjecture Within Five Days
AI寒武纪 · wechat · 2026-09-11
According to this report, OpenAI has confirmed to the New York Times that, following its claimed work on the Navier-Stokes problem, it made substantial progress on the Hodge conjecture over five days, and is carefully deciding how to publish. Anthropic is also rumored to be near resolving the Birch–Swinnerton-Dyer conjecture.
The piece attributes this to a new internal model reportedly codenamed "Aeon," trained about two weeks ago, whose math reasoning vastly outperformed the prior strongest model—solving Navier-Stokes from scratch in 88 hours. It also explains the Hodge conjecture: a $1M Clay Millennium Problem linking topology and algebraic geometry, asserting every topological 'hole' in a nonsingular complex algebraic variety is backed by an algebraic skeleton.
Caveat: these remain unconfirmed rumors pending official publication.
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