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Philosophy behind Mochizuki's work on the ABC conjecture

What is a Frobenioid?

Philosophy behind Mochizuki's work on the ABC conjecture

What is a Frobenioid?

Update (15 December, 2015): I note that Brian Conrad has written a thoughtful summary available here:

Update (27 December, 2015): A number of corrections have been made in the two linked PDF documents below,

Update (15 December, 2015): I note that Brian Conrad has written a thoughtful summary available here:

Update (12 December, 2015): I've written a brief summary of the Oxford workshop on IUTT rather rapidly, so as to save people the trouble of circulating rumours. This seemed to be a reasonable place to put it. All errors in it are my own:

http://people.maths.ox.ac.uk/kimm/papers/iutt=clay.pdf

Apology: Sorry. I realised right after posting that this note contains something close to a quote from Mochizuki. So I thought I had better check with him first. I'll put the link back soon.

Update (15 December, 2015): I note that Brian Conrad has written a thoughtful summary available here:

http://mathbabe.org/2015/12/15/notes-on-the-oxford-iut-workshop-by-brian-conrad/

This makes my original note a bit superfluous. Nevertheless, since the goal there was to state the main point in a very short page, I've reenabled the link below. The key statement has been made somewhat more vague. I will make it more precise when more information becomes available.

Update (12 December, 2015): I've written a brief summary of the Oxford workshop on IUTT rather rapidly, so as to save people the trouble of circulating rumours. This seemed to be a reasonable place to put it. All errors in it are my own:

http://people.maths.ox.ac.uk/kimm/papers/iutt=clay.pdf