20/04/21 11:54:52 QPCMXF1q.net
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Inter-universal geometry と ABC予想 50
スレリンク(math板:882番)
なお、ショルツ氏の最終意見は下記です、ご参照ください(^^
半歩、IUT側へ譲歩していますよw(^^;
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Peter Scholze says:
April 17, 2020 at 7:15 pm
PS: I just realized that maybe the following information is worth sharing. Namely, as an outsider one may wonder that the questions being discussed at length in these comments
(e.g., the issue of distinct copies etc.) are very far from the extremely intricate definitions in Mochizuki’s manuscripts (his notation is famously forbidding, some of it surfaced in Taylor’s comments), and feel almost philosophical, so one might wonder that one is not looking at the heart of the matter.
However, the discussions in Kyoto went along extremely similar lines, and these discussions were actually very much led, certainly initially, by Mochizuki.
He first wanted to carefully explain the need for distinct copies, by way of perfections of rings, and then of the log-link, leading to discussions rather close to the one I was having with UF here.
He agreed that one first has to understand these basic points before it makes sense to introduce all further layers of complexity.
(I should add that we did also go through the substance of the papers, but kept getting back at how this reflects on the basic points, as we all agreed that this is the key of the matter.)