Inter-universal geometry と ABC予想 (応援スレ) 65

[過去ﾛｸﾞ] Inter-universal geometry と ABC予想 (応援スレ) 65 (1002ﾚｽ)
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383: １３２人目の素数さん [] 2022/04/17(日) 23:10:43.24 ID:JCfnQOVz

>>382
つづき

＜google訳＞
IUTTの論文では、大量の用語が紹介されています。
議論を容易にするために、私たちがエラーと見なすものを説明するために厳密に関連する概念のみを説明します。
これには特定の根本的な単純化が含まれ、そのような単純化は望月の証明の核となるすべての興味深い数学を取り除くと主張されるかもしれません。

P10
Thus, Mochizuki wanted to introduce scalars of j^2 somewhere on the left part of this diagram (which strictly speaking leads to inconsistencies, i.e. monodromy, on the left part of the
diagram alone, which arguably can be overcome by using averages). However, it is clear that
this will result in the whole diagram having monodromy j^2, i.e., being inconsistent.
The conclusion of this discussion is that with consistent identifications of copies of real numbers, one must in (1.5) omit the scalars j^2
that appear, which leads to an empty inequality.
We voiced these concerns in this form at the end of the fourth day of discussions. On the
fifth and final day, Mochizuki tried to explain to us why this is not a problem after all. In
particular, he claimed that up to the “blurring” given by certain indeterminacies the diagram
does commute; it seems to us that this statement means that the blurring must be by a factor
of at least O(ｌ^2) rendering the inequality thus obtained useless.

つづく

http://rio2016.5ch.net/test/read.cgi/math/1644632425/383

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