Inter-universal geometry と ABC予想 (応援スレ) 77

[過去ﾛｸﾞ] Inter-universal geometry と ABC予想 (応援スレ) 77 (1002ﾚｽ)
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888: 現代数学の系譜 雑談 ◆yH25M02vWFhP  [] 2025/11/14(金) 11:01:01.86 ID:f6V8ev5m

>>884-885
あなたは、文献を読み込まずに 数学の議論を進めていますね
それ アウトです

１）まず >>308より
(参考)
https://www.math.uni-bonn.de/people/scholze/WhyABCisStillaConjecture.pdf
Why abc is still a conjecture PETER SCHOLZE AND JAKOB STIX
Date: July 16, 2018.
P4
2.1.Glossary: IUTT-terminology and how we may think of these objects.
To facilitate the discussion,we will describe (only)the notions that are strictly relevant to explain what we regard as the error.
This will involve certain radical simplifications, and it might be argued that such simplifications strip awayall the interesting mathematics that forms the core of Mochizuki’s proof.

２）次に Kirti Joshi で、Joshiの SCHOLZE文書批判を読む
https://arxiv.org/pdf/2505.10568
[Submitted on 29 Apr 2025]
Final Report on the Mochizuki-Scholze-Stix Controversy
Kirti Joshi
This report provides my mathematical findings regarding the Mochizuki-Scholze-Stix controversy surrounding Mochizuki's Inter-Universal Teichmüller Theory.

３）さらに 望月氏の反論を読む
https://www.kurims.kyoto-u.ac.jp/~motizuki/papers-japanese.html
[9] On the Essential Logical Structure of Inter-universal Teichmuller Theory in Terms of Logical AND "∧"/
　　Logical OR "∨" Relations: Report on the Occasion of the Publication of the Four Main Papers on
　　Inter-universal Teichmuller Theory. PDF NEW!! (2024-03-24) https://www.kurims.kyoto-u.ac.jp/~motizuki/Essential%20Logical%20Structure%20of%20Inter-universal%20Teichmuller%20Theory.pdf

つづく

http://rio2016.5ch.net/test/read.cgi/math/1761878205/888

889: 現代数学の系譜 雑談 ◆yH25M02vWFhP  [] 2025/11/14(金) 11:01:26.81 ID:f6V8ev5m

つづき

４）その上で 下記にも 目を通してね
https://math.arizona.edu/~kirti/
My reports on the Mochizuki-Scholze-Stix Controversy
・Final Report (May 2025) [Provides my final conclusion regarding the proof of the abc-conjecture.]
・Provisional Report (June 2024) [Written after extensive correspondence (in May-June 2024) with Peter Scholze and it provides robust conclusions regarding the invalidity of the Scholze-Stix Report, but because Mochizuki was objecting to my work (in March 2024), I did not provide any conclusion on the proof of the abc-conjecture. This report also contains a time-line of events leading upto this report.]

５）さらに Joshi氏 は、ショルツエ氏の Perfectoids を使った 新証明 Mochizuki's Corollary 3.12 を提案している（望月はダメだが、これが良いのだと）
（でも、ショルツエ氏と望月氏 両者から ダメ出しがあるらしい）
https://math.arizona.edu/~kirti/
Preprints
5 arXiv:2401.13508  [pdf, ps, other]  math.AG math.NT
Construction of Arithmetic Teichmuller Spaces III: A `Rosetta Stone' and a proof of Mochizuki's Corollary 3.12
Authors: Kirti Joshi
Submitted 24 February, 2025; v1 submitted 24 January, 2024; originally announced January 2024.
例えば
10.4 Perfect Frobenioids and Perfectoids . . . 132

ともかく、これらを 理解できる出来ないは別として
チラ見くらいはして 議論すべきですよ
そうしないと 議論が上滑りです
以上

http://rio2016.5ch.net/test/read.cgi/math/1761878205/889

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