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nLab > Latest Changes: IUTT

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  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeSep 19th 2012
    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeSep 19th 2012
    • (edited Sep 19th 2012)

    Hm, ever since I put those pdf-links into IUTT the server that hosts them seems to be down. Or I am being stupid. I could swear I did open the pdf behind these links this morning. But now I just get a server error when I try to. Is this just me? Do I have some typo in the URLs? ?!?

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeSep 19th 2012
    • (edited Sep 19th 2012)

    Ah, never mind. Now I can reach them again. Or can I? Hm, number III) I get now. But number IV) still not.

    • CommentRowNumber4.
    • CommentAuthorTim_Porter
    • CommentTimeSep 19th 2012
    • (edited Sep 19th 2012)

    I found it slow. I called up IUTT III, got it, and changed the III to IV in the URL It then came up without problem. Back on the IUTT entry it then worked. I will clear my Firefox cache and try again. (Edit: It seems to work for me now.)

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeSep 19th 2012

    Okay, thanks for checking!

    • CommentRowNumber6.
    • CommentAuthorzskoda
    • CommentTimeSep 20th 2012

    There are periods when the site with Mochizuki’s web pages is not responsive and the times when everything is OK.

    • CommentRowNumber7.
    • CommentAuthorzskoda
    • CommentTimeSep 20th 2012

    Regarding the model-theoretic content of the page cf. my remarks in the comment 37 in the parallel discussion.

    • CommentRowNumber8.
    • CommentAuthorDavid_Corfield
    • CommentTimeFeb 15th 2015

    Added a reference

    Ivan Fesenko, Arithmetic deformation theory via arithmetic fundamental groups and nonarchimedean theta functions (pdf)

    • CommentRowNumber9.
    • CommentAuthorDavid_Corfield
    • CommentTimeNov 11th 2015
    • (edited Nov 11th 2015)

    Added

    Minhyong Kim, Brief superficial remarks on Shinichi Mochizuki’s Interuniversal Teichmueller Theory (IUTT), version 1, 10/11/2015, (pdf).

    • CommentRowNumber10.
    • CommentAuthorspitters
    • CommentTimeNov 11th 2015

    Since you seem to be following this, is anything more clear about the connection with universe enlargement available?

    • CommentRowNumber11.
    • CommentAuthorDavidRoberts
    • CommentTimeNov 11th 2015

    @spitters, not that I could see in this, nor in another recent Mochizuki document answering questions put to him about the programme.

    • CommentRowNumber12.
    • CommentAuthorDavid_Corfield
    • CommentTimeNov 11th 2015

    I never understood why universe enlargement should be such a big deal. Does it amount to anything more than the book-keeping of ’typical ambiguity’ or ’universe polymorphism’, as Mike explains?

    …as long as you aren’t deliberately perverse, you won’t usually have to worry about universe inconsistencies… in non-formalized mathematics, we are always free to drop into explicit universe polymorphism if it ever seems necessary for clarity. But most of the time, it isn’t.

    Doesn’t sound like a powerful principle to find out new things in number theory.

    • CommentRowNumber13.
    • CommentAuthorspitters
    • CommentTimeNov 11th 2015

    Given the name “Inter Universal”, apparently Mochizuki thinks it is important.

    • CommentRowNumber14.
    • CommentAuthorDavidRoberts
    • CommentTimeNov 11th 2015

    @spitters his appendix to IUTT IV that show why he uses this name is not referred to in a substantial way a single time in the four papers. Also, his use of set theory is very odd, so I think of that appendix as a hack from someone not au fait with foundational issues.

1 to 14 of 14

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