trailThe mathematical community broadly does not accept Mochizuki's IUT proof of the abc conjecture.
Mochizuki's inter-universal Teichmüller theory papers constitute a valid proof of the abc conjecture.
The proof of Corollary 3.12 in Mochizuki's IUT papers contains a fundamental gap
Mochizuki's rebuttals to Scholze and Stix have not persuaded arithmetic geometers outside his circle.
Expert verdicts and absent independent verification· for
Scholze and Stix's 2018 report concluded that Mochizuki's IUT proof of the abc conjecture contains a serious, unfixable gap.
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Scholze's zbMATH review of the published IUT papers maintains that the proof of Corollary 3.12 is incomplete.
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Public endorsements of Mochizuki's IUT proof come almost entirely from his RIMS colleagues and longstanding advocates.
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Peer-reviewed publication and named endorsements· against
Mochizuki's IUT papers were peer-reviewed and published in Publications of RIMS
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Several mathematicians, including Fesenko, Hoshi, Yamashita and Mok, have publicly affirmed that Mochizuki's IUT proof of the abc conjecture is correct.
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Peer-reviewed publication of the IUT papers in Publications of RIMS establishes the proof's acceptance by the mathematical community.
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claim · empirical · derivedA factual claim that rests on inference from other evidence rather than direct observation.constitution →claim page ↗︎
The mathematical community broadly does not accept Mochizuki's IUT proof of the abc conjecture.
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