暇つぶし2chat MATH
- 暇つぶし2ch650:現代数学の系譜 雑談 ◆e.a0E5TtKE
20/04/30 07:22:42 uKv4ftJu.net
>>574

Woitブログで動きがあったね
下記は、字数制限の関係で、部分引用でしかないので、原文ご参照ください
特に、Taylor Dupuy says: April 29, 2020 at 4:37 pm は、かなりの長文投稿です(^^

(参考)
URLリンク(www.math.columbia.edu)
Not Even Wrong
Latest on abc
Posted on April 3, 2020 by woit
(抜粋)
David Roberts says:
April 29, 2020 at 12:07 am
For what it’s worth, the first two (of three) papers by Taylor and Anton Hilado are now on the arXiv:
“The Statement of Mochizuki’s Corollary 3.12, Initial Theta Data, and the First Two Indeterminacies” URLリンク(arxiv.org)
“Probabilistic Szpiro, Baby Szpiro, and Explicit Szpiro from Mochizuki’s Corollary 3.12” URLリンク(arxiv.org)

Martin says:
April 29, 2020 at 7:42 am
From the abstract of the first paper:
“This paper does not give a proof of Mochizuki’s Corollary 3.12. […] These manuscripts are designed to provide enough definitions and background to give readers the ability to apply Mochizuki’s statements in their own investigations. […]
It is our hope that doing so will enable creative readers to derive interesting and perhaps unforeseen consequences Mochizuki’s inequality.”

Peter Woit says:
April 29, 2020 at 9:10 am
Martin,
Scholze’s argument is not that the inequality can’t be right, but that Mochizuki’s proof of the inequality can’t work. It’s a reasonable project to understand the implications of conjectured inequalities, better if they’re clearly labeled as conjectures…

Taylor Dupuy says:
April 29, 2020 at 4:37 pm
Hi Everyone (and Peter),
In what follows I can give four proofs/reasons why a certain statement in Peter’s manuscript with Jakob about replacing Hodge Theaters with fundamental groups is false. I believe these to be correct. Please check for mistakes.


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