OpenAI rumored to verify Hodge conjecture proof
This story matters because it highlights a potential breakthrough in using AI for complex mathematical problems, a field where human researchers have struggled for decades.
A tweet claims that OpenAI is close to verifying a proof of the Hodge conjecture, a Millennium Prize Problem in mathematics. The Hodge conjecture is a deep question about Hodge classes in algebraic geometry. If verified, this would be a historic achievement for AI and mathematics, demonstrating its ability to find novel and creative solutions.
would be mind blowing if an AI proof of Hodge is a general theory explaining why all Hodge classes are algebraic possibly requiring a deep new bridge between topology/Hodge theory and algebraic geometry and not just 10000 agents finding the one counterexample breaking Hodge Chubby♨️ @kimmonismus Holy, rumors are spreading everywhere that OpenAI is close to verifying a proof of the Hodge conjecture, while either OpenAI or Anthropic may be nearing a solution to Birch–Swinnerton-Dyer. Both are Millennium Prize Problems that have resisted decades of mathematical research. Verified AI-generated proofs of both would be a historic achievement for mathematics and a remarkable demonstration of AI’s ability to produce new scientific knowledge. And infact show that AI is capable of finding novel and creative solutions. 🔗 View Quoted Tweet 💬 5 🔄 4 ❤️ 62 👀 6287 📊 9 ⚡
