暇つぶし2chat MATH
- 暇つぶし2ch147:現代数学の系譜 雑談
20/04/18 18:37:14.65 FUrf+qJl.net
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うーむ
Peter Scholze先生
半歩、理解の方へ前進かも(^^;
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URLリンク(www.math.columbia.edu)
Not Even Wrong
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Posted on April 3, 2020 by woit
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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.)


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