[過去ﾛｸﾞ] Interｰuniversal geometryとABC予想(応用スレ)51 (1002ﾚｽ)
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682(1): 2021/02/18(木)16:22 ID:qnnVeZy1(11/14) AAS
>>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 外部ﾘﾝｸ:en.wikipedia.org 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？
684(1): 2021/02/18(木)16:30 ID:NzeyxT1l(5/7) AAS
>>682
読めば書いてあるけどホッジ劇場を数学的に解釈するのが困難だという話
デュピュイが構造に関連づければ〜とか持ち出して、ショルツがホッジ劇場をどう解釈しても構造のフレームワークにフィットしないっていうことだろう
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