現代数学の系譜工学物理雑談古典ガロア理論も読む79

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226: 現代数学の系譜 雑談 古典ガロア理論も読む ◆e.a0E5TtKE  [] 2019/12/01(日) 13:40:46.98 ID:id6ENHqe

>>158 関連

https://www.maths.nottingham.ac.uk/plp/pmzibf/mp.html
Ivan Fesenko - Research in texts

M  Most recent
[M3] About certain aspects of the study and dissemination of Shinichi Mochizuki's IUT theory

https://www.maths.nottingham.ac.uk/plp/pmzibf/rapg.pdf
ABOUT CERTAIN ASPECTS OF THE STUDY AND DISSEMINATION OF SHINICHI MOCHIZUKI’S IUT THEORY
IVAN FESENKO
‘Phil: Do you ever have deja vu, Mrs. Lancaster?
Mrs. Lancaster: I don’t think so, but I could check with the kitchen.’
(Groundhog Day)
(抜粋)
This text communicates in a compact form some of factual information related to the study of Sh. Mochizuki’s IUT theory1 and its dissemination, as well as various aspects of the situation around IUT.

The number of mathematicians able to write expert reports on the IUT papers exceeds the number of such reports on previous major breakthrough papers at the time of their publication. 2020 will be a special RIMS year with 4 international
workshops on anabelian geometry, combinatorial anabelian geometry and IUT.
Some mathematicians have tried to study IUT on the own, but have not been able to proceed far.
In particular, none of number theorists who made their own breakthrough decades ago have apparently managed to advance in their study of IUT.
In contrast, there are several young researchers who in the course of several years of hard
study of IUT, have asked interesting questions and contributed to new original developments.
There were few people, all lacking any expertise even in anabelian geometry, active in applying efforts to produce ignorant critical remarks about IUT.
Their online remarks and debates were devoid of any valid math evidence of faults in the theory. Some were active in spreading fake information that might have affected some mathematicians in other areas. All of these unprofessional behaviour should be strongly rejected.

つづく

http://rio2016.5ch.net/test/read.cgi/math/1573769803/226

227: 現代数学の系譜 雑談 古典ガロア理論も読む ◆e.a0E5TtKE  [] 2019/12/01(日) 13:41:17.77 ID:id6ENHqe

>>226

つづき

3.3. An attempt to study IUT by two German mathematicians and ethical issues.
In 2013?2017 not a single concrete mathematical remark indicating a serious problem in IUT was produced. This did not prevent
some cheap irresponsible talk. Since 2014 P. Scholze kept talking publicly at various workshops about faults in IUT.12
Eventually Scholze visited RIMS, together with J. Stix, in March 2018, just for 5 days.13
After the meeting, Scholze and Stix came with their caricature version of IUT based on their oversimplification of IUT in which they identify all isomorphic rings and ‘forget’ about the fundamental role of automorphism groups.
In particular, the two German mathematicians deny the use of anabelian geometry and infinitely many theatres in IUT.14
Initially, Scholze and Stix intended to put their report about the meeting online. However, after reading Mochizuki’s report on their report, see especially its sect. 17-18 15 and these comments16, they completely changed their mind in July 2018 and stopped to be interested to post their own report.
They eventually agreed to let the author of IUT to include their report on his pages.
The author of IUT formulated several questions to the German mathematicians in his report that may have helped them to appreciate how erroneous was their take on IUT.
The second version of their report did not address most of comments of Mochizuki on their first report.
The second version of their report also included new incorrect statements such as a blunder in classical height theory and a fundamental misunderstanding of one of Faltings work.

つづく

http://rio2016.5ch.net/test/read.cgi/math/1573769803/227

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