Inter-universal geometry とABC 予想58  

Inter-universal geometry とABC 予想58   (438ﾚｽ)
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329: １３２人目の素数さん [] 2025/09/17(水) 12:26:05.70 ID:K/4nCedS

Brief Report on the Current SituationSurrounding Inter-universal Teichmüller Theory (IUT)
Shinichi Mochizuki
August 2023

宇宙際タイヒミューラー理論（IUT）をめぐる現状に関する簡潔な報告

Despite

>- the publication in 2021 of the four main papers [IUTchI], [IUTchII], [IUTchIII],
[IUTchIV]
on inter-universal Teichmüller theory (IUT) in a special volume of Publ. RIMS
edited by a special editorial board consisting of such internationally renowned
mathematicians as M. Kashiwara, A. Tamagawa, S. Mukai, H. Nakajima, and T.
Mochizuki;

- 2021年に、M.柏原 A玉川
S向井、H中島、T望月といった
国際的に著名な数学者からなる
特別編集委員会によって編集されたPubl. RIMSの特別号に、
宇宙際タイヒミュラー理論（IUT）に関する4つの主要論文[IUTchI]、[IUTchII]、[IUTchIII]、[IUTchIV]が掲載され発刊されたこと。主にGoogle

注.
internationally renowned
mathematicians
国際的に著名な数学者
https://www.kurims.kyoto-u.ac.jp/~motizuki/2023-08%20Brief%20report%20on%20the%20current%20situation%20surrounding%20inter-universal%20Teichmuller%20theory%20(IUT).pdf

http://rio2016.5ch.net/test/read.cgi/math/1749926306/329

435: １３２人目の素数さん [] 2025/10/01(水) 19:23:58.88 ID:2PQKP7pb

>>313

Google 翻訳

Verification of IUTT. As of December
2014

Shinichi Mochizuki, Professor, Research Institute for Mathematical Sciences,
Kyoto University

・1. P5
>The ABC Conjecture is a "correct theory" in the sense that one cannot help but question whether an "alternative proof" using a fundamentally different methodology could exist.

・2.P6
>In the case of IUT, if a researcher already has a deep understanding and a considerable track record of research on topics such as "absolute anabelian geometry," "rigidity properties of the étale-theta function," or "Hode-Arakelov theory," it might be possible to gain a fairly thorough understanding of IUT through such "smack-dabble" research.
However, for better or worse, the reality is that there are no researchers (apart from myself) who are well-versed in these topics.

・3.P7
>With the exception of a few researchers already involved in the verification activities of IUT, all researchers in arithmetic geometry around the world (including Yamashita at the time the series of papers was published in August 2012!) are "complete amateurs" when it comes to the mathematics surrounding IUT, and are essentially unqualified to make a definitive (i.e., mathematically meaningful) judgment on the success or failure of IUT using their "deep understanding" based on previous research achievements.

・
Verification of IUTT. As of December 2014

https://www.kurims.kyoto-u.ac.jp/~motizuki/IUTeich%20Kenshou%20Houkoku%202014-12.pdf

http://rio2016.5ch.net/test/read.cgi/math/1749926306/435

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