[過去ﾛｸﾞ] Inter-universal geometry と ABC予想 (応援スレ) 77 (1002ﾚｽ)

Inter-universal geometry と ABC予想 (応援スレ) 77 http://rio2016.5ch.io/test/read.cgi/math/1761878205/

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862: １３２人目の素数さん [] 2025/11/13(木) 18:50:40.25 ID:j0WINteV https://www.math.columbia.edu/~woit/wordpress/?p=15277 において James Douglas Boydという人が October 10, 2025 at 7:01 amに書いたことの中で ＞a certain collection of primes (of bad reduction) called “prime-strips” を ＞So, if this set is p と定義するのに ＞and all primes are P という集合との間に ＞ then ; p∈P が成り立つって書いているのはなぜかな？ p⊂P の間違い？？でもそのあと矛盾と言っているp∈pを導くには やっぱり p∈P という意図だよね ＞the real issue is that IUT supposes p=P even though p≠P. この人はいわゆる「∈ループ」ではなくてこのことが問題の本質だって言ってるね てことは p∈P はあえてIUTの記述？を使ってるだけ？ ＞This is why, with time, I became very sympathetic to the Scholze-Stix argument: IUTにはABC証明以外の発展性が有るかもしれないと思いつつの そのABC証明には矛盾があるという指摘には共感してると http://rio2016.5ch.io/test/read.cgi/math/1761878205/862

863: １３２人目の素数さん [] 2025/11/13(木) 18:53:37.05 ID:j0WINteV >>862 >IUTにはABC証明以外の発展性が有るかもしれないと思いつつの これは ＞If some folks who don’t care about abc can still find valuable mathematics among the many constructions at play in the IUT papers, I think that’s a redemptive, positive development. の部分のradical simplificationだけども http://rio2016.5ch.io/test/read.cgi/math/1761878205/863

866: 現代数学の系譜 雑談 ◆yH25M02vWFhP [] 2025/11/13(木) 21:04:38.33 ID:4Nc81kvo >>862 >James Douglas Boydという人が ほいよ 　>>22-23より 再録 所詮、James Douglas Boydは、数学者ではないってことだね （＾＾ https://rio2016.5ch.net/test/read.cgi/math/1749926306/764 woit氏ブログ abcコメント2025.10.27 Mochizuki’s response to Boyd’s report: (Feel free to disregard this, as the response contains ad hominem attacks.) https://www.math.columbia.edu/~woit/wordpress/?p=15277 Two Number Theory Items (and Woody Allen) Posted on September 20, 2025 by woit James Douglas Boyd has recently spent a lot of time interacting with Mochizuki and others at RIMS working in anabelian geometry. Material from interviews he conducted are available here (Mochizuki on IUT) and here (on anabelian geometry at RIMS). He also has written a summary of IUT and of the basic problem with the abc proof. These include detailed comments on the issue pointed out by Scholze-Stix and why this is a significant problem for the proof. I’d be curious to hear from anyone who has looked at this closely about whether they agree with Boyd’s characterization of the situation. There’s also a lot of material the IUT ideas, independent of the problematic abc proof, and about what Mochizuki and others are now trying to do with these ideas. Update: A commenter points to this from Mochizuki, which denounces Boyd and his report, as well as discussing prospects for formalizing IUT and the abc proof. https://jp.linkedin.com/in/james-douglas-boyd-48a4311ba James Douglas Boyd CEO/CTO at Sci Research | Ex-Wolfram 学歴 Wolfram Summer School Postgraduate Advisor: Stephen Wolfram The New School Graduate University of Michigan Undergraduate http://rio2016.5ch.io/test/read.cgi/math/1761878205/866

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