3 ms·

the mathematical advice contained in this comment is incorrect. For correct information see e.g. http://www.claymath.org/events/iut-theory-shinichi-mochizuki h

by upwg24 11y ago

the mathematical advice contained in this comment is incorrect. For correct information see e.g. http://www.claymath.org/events/iut-theory-shinichi-mochizuki http://www.claymath.org/events/iut-theory-shinichi-mochizuki "the consensus is generally that Mochizuki's theory is probably incorrect", "I am a professional mathematician" - these two claims contradict each other: no professional mathematician would make such false claims

smeyer 11y ago
>no professional mathematician would make such false claims Well, that's obviously incorrect, because the previous commenter did in fact make those claims and is in fact a professional mathematician. It's not like you can make some sort of no true scotsman argument about his profession: http://people.math.sc.edu/thornef/ http://people.math.sc.edu/thornef/ .
impendia 11y ago
The consensus is that Mochizuki's theory, at least insofar as it claims to prove ABC, is probably incorrect. (Otherwise this workshop would be a lot more popular.) But not definitely incorrect. Mochizuki is certainly not an obvious crank. His theory may be right, perhaps only partially -- in which case it will be enormously consequential. So it's still worth paying attention to. (In Minhyong Kim's judgment, which carries a hell of a lot more weight than mine.) I do stand corrected a little bit: I see that a couple other reputable mathematicians have already invested some time digesting his work, and further that Mochizuki has decided to be more open to answering questions.
- valera_rozuvan 11y ago
  The most detailed and up-to-date resource on the link between ABC conjecture and Mochizuki's inter-universal Teichmuller theory, IMHO, is http://michaelnielsen.org/polymath1/index.php?title=ABC_conjecture http://michaelnielsen.org/polymath1/index.php?title=ABC_conj... . It lists a survey article on IUT Theory by Ivan Fesenko entitled "ARITHMETIC DEFORMATION THEORY VIA ARITHMETIC FUNDAMENTAL GROUPS AND NONARCHIMEDEAN THETA-FUNCTIONS, NOTES ON THE WORK OF SHINICHI MOCHIZUKI" [preprint February 2015] ( https://www.maths.nottingham.ac.uk/personal/ibf/notesoniut.pdf https://www.maths.nottingham.ac.uk/personal/ibf/notesoniut.p... ).

by upwg24 11y ago

smeyer 11y ago

>no professional mathematician would make such false claims Well, that's obviously incorrect, because the previous commenter did in fact make those claims and is in fact a professional mathematician. It's not like you can make some sort of no true scotsman argument about his profession: http://people.math.sc.edu/thornef/ http://people.math.sc.edu/thornef/ .

impendia 11y ago

The consensus is that Mochizuki's theory, at least insofar as it claims to prove ABC, is probably incorrect. (Otherwise this workshop would be a lot more popular.) But not definitely incorrect. Mochizuki is certainly not an obvious crank. His theory may be right, perhaps only partially -- in which case it will be enormously consequential. So it's still worth paying attention to. (In Minhyong Kim's judgment, which carries a hell of a lot more weight than mine.) I do stand corrected a little bit: I see that a couple other reputable mathematicians have already invested some time digesting his work, and further that Mochizuki has decided to be more open to answering questions.

valera_rozuvan 11y ago
The most detailed and up-to-date resource on the link between ABC conjecture and Mochizuki's inter-universal Teichmuller theory, IMHO, is http://michaelnielsen.org/polymath1/index.php?title=ABC_conjecture http://michaelnielsen.org/polymath1/index.php?title=ABC_conj... . It lists a survey article on IUT Theory by Ivan Fesenko entitled "ARITHMETIC DEFORMATION THEORY VIA ARITHMETIC FUNDAMENTAL GROUPS AND NONARCHIMEDEAN THETA-FUNCTIONS, NOTES ON THE WORK OF SHINICHI MOCHIZUKI" [preprint February 2015] ( https://www.maths.nottingham.ac.uk/personal/ibf/notesoniut.pdf https://www.maths.nottingham.ac.uk/personal/ibf/notesoniut.p... ).