Timeline for Inaccessible cardinals and Andrew Wiles's proof
Current License: CC BY-SA 2.5
8 events
when toggle format | what | by | license | comment | |
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Aug 17, 2010 at 8:45 | vote | accept | Cosmonut | ||
Aug 17, 2010 at 8:50 | |||||
Aug 16, 2010 at 17:42 | comment | added | Pete L. Clark | I agree with all of this. I think McLarty's point of view makes some sense when FLT is read as a synecdoche for "modern arithmetic geometry using Grothendieck cohomologies". I am familiar with the foundations of etale cohomology and know that universes are absolutely not required there. However, for some other sites, things are less obviously benign. For an example -- which must be close to the simplest possible example -- of set-theoretic difficulties related to nilpotent thickenings, see Section 6 of math.uga.edu/~pete/apoints11.pdf. | |
Aug 16, 2010 at 16:44 | comment | added | BCnrd | Dear David: No problem. Dear Noah: Nice summary. Galois repns in pf of FLT are weight 2, built via Tate mods of Jacobians (no etale cohom). The part which gets some worked up about universes is Grothendieck duality (eliminated in the subsequent generalizations and improvements of the method, FWIW), but nothing in pfs of Gr. duality leads to universes either. Someone who reads the first proofs of original refs, as you suggest (bad idea: there's been progress!), won't run into universes. Too dramatic to focus on FLT. Would be better if those who speculate on certain proofs read them first. :) | |
Aug 16, 2010 at 16:27 | history | edited | BCnrd | CC BY-SA 2.5 |
semi-simple |---> semi-stable
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Aug 16, 2010 at 16:06 | comment | added | David E Speyer | Note to BCnrd: It occurs to me that my edits make it trivial for someone to deduce your identity. I assume you have no intention of being genuinely anonymous but, if this bothers you, let me know and I will remove them. | |
Aug 16, 2010 at 16:05 | comment | added | David E Speyer | Edited to explain BCnrd's qualifications to those who don't already know them. | |
Aug 16, 2010 at 16:05 | history | edited | David E Speyer | CC BY-SA 2.5 |
added 637 characters in body
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Aug 16, 2010 at 15:24 | history | answered | Noah Snyder | CC BY-SA 2.5 |