21/09/18 09:27:38.49 4v85ry7i.net
>>399 補足
星先生の
URLﾘﾝｸ(www.kurims.kyoto-u.ac.jp)
Talks of Yuichiro HOSHI - (RIMS), Kyoto University
Lectures
URLﾘﾝｸ(www.kurims.kyoto-u.ac.jp)
Multiradial Representations and Log-volume Estimates (Talk Slides),
Inter-universal Teichmuller Theory Summit 2021,
Kyoto,
September 7-10, 2021.
(引用終り)
この”Log-volume Estimates”は、下記のIUT IIIの有名な”Corollary 3.12. (Log-volume Estimates for Θ-Pilot Objects) ”ですね
そして、IUT IIIとは別の筋での証明ですね
URLﾘﾝｸ(www.kurims.kyoto-u.ac.jp)
INTER-UNIVERSAL TEICHMULLER THEORY III: ¨
CANONICAL SPLITTINGS OF THE LOG-THETA-LATTICE
Shinichi Mochizuki May 2020
P173
Corollary 3.12. (Log-volume Estimates for Θ-Pilot Objects)
P174
Then it holds that ? |log(Θ)| ∈ R, and
? |log(Θ)| ? ?|log(q)|
? i.e., CΘ ? ?1 for any real number CΘ ∈ R such that ? |log(Θ)| ? CΘ ・|log(q)|.
(引用終り)
これは、>>85にも書いたが、Scholze氏>>12の
（IUTに対する批判的レビュー）
URLﾘﾝｸ(zbmath.org)
URLﾘﾝｸ(zbmath.org)
Mochizuki, Shinichi
Inter-universal Teichmuller theory. I: Construction of Hodge theaters. (English) Zbl 07317908
Publ. Res. Inst. Math. Sci. 57, No. 1-2, 3-207 (2021).
Reviewer: Peter Scholze (Bonn)
P1
Unfortunately, the argument given for Corollary 3.12 is not a proof, and the theory built in these papers
is clearly insufficient to prove the ABC conjecture.
(引用終り)
への反論になっていますね