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Inter-universal geometry と ABC予想 (応援スレ) 52

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>>262
> >>212
> (引用開始)
> https://www.math.columbia.edu/~woit/wordpress/?p=11709
> （woitブログ）
> Not Even Wrong Latest on abc Posted on April 3, 2020 by woit
> Peter Scholze says:
> April 30, 2020 at 3:32 am
> Reading the IUT papers, however, you are presented with some extremely difficult notion of a Hodge theater, together with a highly non-obvious notion of isomorphisms of such: Isomorphisms do not preserve nearly as much structure as you would expect them to, and this is by design as Mochizuki points out. So I find it very hard to “guess” what something like a surrounding “theory” might be. For all I can see, Hodge theaters fit neither into the framework of “structures” as used in the wikipedia entry https://en.wikipedia.org/wiki/Interpretation_(model_theory) you linked to, nor the topos-theoretic framework of Caramello. (Regarding the first one: A “structure” in the sense of model theory has first of all an underlying set. I find it hard to take a Hodge theater and produce some interesting set that is functorial in isomorphisms of Hodge theaters, the problem being the very lax notion of isomorphisms of Hodge theaters.)
> However, these long discussions are all about interpretations. Regarding the mathematics proper: I stand by the claim made in our manuscript, and have indicated the proof above.
> （終わり）
> 
> ショルツェ氏は、「Cor3.12までは、自明なことしか書いていない」と言いながら
> ”some extremely difficult notion of a Hodge theater”とのたまう
> 
> あれあれ？　
> 「Cor3.12までは、自明なことしか書いていない」んじゃないの？
> 
> まあ、”Hodge theater”が分からないなら
> Cor3.12の証明が分からなくても不思議なし！！

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