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seen Jan 3 at 9:16
I'm interested in many things, but algebraic geometry I love.

Oct
4
comment Why is there no “regular etale fundamental group”?
unknown, it sounds like you have an example in mind.
Oct
4
asked Why is there no “regular etale fundamental group”?
Sep
17
awarded  Favorite Question
Sep
17
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Sep
17
awarded  Popular Question
Sep
17
awarded  Famous Question
Sep
17
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Sep
17
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Sep
17
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Sep
17
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Sep
8
accepted Philosophy behind Mochizuki's work on the ABC conjecture
Sep
7
awarded  Mortarboard
Sep
7
comment Philosophy behind Mochizuki's work on the ABC conjecture
David, your comments are precisely the type of answer I'm looking for. It is okay that it's 20 years old.
Sep
7
comment Philosophy behind Mochizuki's work on the ABC conjecture
You are correct that I was inaccurate on that point, although I did know that it was Weil's idea. As for you argument for patience, I think you have misunderstood my question. I am not asking for a sketch of the methods, but only what those methods aim to achieve. An example of a good answer is David Speyer's comments. So saying "here is the rough argument in the function fields case, and so what we want is a number theoretic analogue of ____" is precisely the answer I was looking for.
Sep
7
comment Philosophy behind Mochizuki's work on the ABC conjecture
@quid: you're being stubborn. Is it not legitimate to ask questions about mathematics that is available but difficult to read and understand? @Kevin: thanks!
Sep
7
revised Philosophy behind Mochizuki's work on the ABC conjecture
deleted 4 characters in body; deleted 21 characters in body
Sep
7
comment Philosophy behind Mochizuki's work on the ABC conjecture
@quid: the expositions I've seen (such as kurims.kyoto-u.ac.jp/~motizuki/2010-10-abstract.pdf) are mostly teasers to make people read more. My question is about the sketch underlying the proof of the ABC conjecture, which I don't see evident there. If you have an exposition that you would recommend, I suggest that you write it as an answer.
Sep
7
comment Philosophy behind Mochizuki's work on the ABC conjecture
Correction: "an enthusiastic report". Sorry, Jordan!
Sep
7
asked Philosophy behind Mochizuki's work on the ABC conjecture
Aug
29
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