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Interーuniversal geometryとABC予想(応用スレ)51 (1002レス)
Interーuniversal geometryとABC予想(応用スレ)51 http://rio2016.5ch.net/test/read.cgi/math/1610452199/
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682: 132人目の素数さん [] 2021/02/18(木) 16:22:28.11 ID:qnnVeZy1 >>679-680 >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. これ読むと、 IUTは難しいこと一杯書いてあって、その解釈も難しい ”some extremely difficult notion of a Hodge theate”とか、「あれあれ??」ってこと書いてあるよね でも、要するに、「おれ(ショルツ氏)は、主張を変えないよ!」ってことでしょ で、”The same happens for everything else I’ve seen in IUT or your comments. I’m happy to continue any further discussions by e-mail.” だって。ショルツ氏から議論を打ち切ったから、もうショルツ氏は良いんじゃない? http://rio2016.5ch.net/test/read.cgi/math/1610452199/682
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