Gap in Mochizuki's proof of ABC confirmed by Lean
A formalization project led by Bungen Kato has concluded that a critical argument in Shinichi Mochizuki's Inter-universal Teichmüller (IUT) theory is currently unformalizable. While the project identifies a gap in the proof of the ABC conjecture, researchers are keeping an open mind as Mochizuki continues to provide new explanations.
Why it matters
This development marks a significant milestone in the long-standing academic controversy surrounding the ABC conjecture, potentially bringing the mathematical community closer to a consensus on the validity of Mochizuki's work.
Fumiharu Kato 加藤文元（Bungen） on X: "In today's press conference, we explained our efforts over the last two years which resulted in the following conclusion: The way the argument from Theorem 3.11 to Corollary 3.12 is written in the IUT papers is unformalizable. But since Mochizuki's explanation of this point has" / X
In today's press conference, we explained our efforts over the last two years which resulted in the following conclusion: The way the argument from Theorem 3.11 to Corollary 3.12 is written in the IUT papers is unformalizable. But since Mochizuki's explanation of this point has recently started evolving, we reserve final judgement at this time.
Get smarter about the news
Sign up free for a feed built around what you actually care about, Dive Deeper research on any story, and the full text of every article.
Create free accountAlready have an account? Sign in