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132人目の素数さん
Inter-universal geometry と ABC予想 28

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Inter-universal geometry と ABC予想 28
236 :132人目の素数さん[]:2018/06/14(木) 16:04:15.57 ID:VcXcAYIl
>>233

scholze(ps)の発言は2017年12月21日。
>>8
Inter-universal geometry と ABC予想 28
239 :132人目の素数さん[]:2018/06/14(木) 16:19:42.42 ID:VcXcAYIl
>>236
p.scholze 2017.12.21

One small thing I would like to add is that most accounts indicate that no experts have been able to point to a place where the proof would fail.
This is in fact not the case; since
shortly after the papers were out
I am pointing out that I am entirely
unable to follow the logic after
Figure 3.8 in the proof of Corollary
3.12 of Inter-universal Teichmüller
theory part III: “If one interprets the
above discussion in terms of the
notation introduced in the statement
of Corollary 3.12, one concludes
[the main inequality].”
Note that this proof is in fact the *only* proof in parts II and III that is longer than
a few lines which essentially say
This follows from the definitions”.
Inter-universal geometry と ABC予想 28
240 :132人目の素数さん[]:2018/06/14(木) 16:28:59.68 ID:VcXcAYIl
>>239
つづき

Those proofs, by the way, are completely
sound, very little seems to happen in those
two papers (to me).
Since then, I have kept asking other experts
about this step, and so far did not get any
helpful explanation. In fact, over the years
more people came to the same conclusion;
from everybody outside the immediate vicinity
of Mochizuki, I heard that they did not
understand that step either.
The ones who do claim to understand
the proof are unwilling to acknowledge that
more must be said there;
in particular, no more details are given
in any survey, including Yamashita’s,
or any lectures given on the subject
(as far as they are publicly documented).
Inter-universal geometry と ABC予想 28
241 :132人目の素数さん[]:2018/06/14(木) 16:33:02.66 ID:VcXcAYIl
>Note that this proof is in fact the *only*
proof in parts II and III that is longer than
a few lines which essentially say
This follows from the definitions”.

>in particular, no more details are given
in any survey, including Yamashita’s,
or any lectures given on the subject
(as far as they are publicly documented).


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