Timeline for What are Jacob Lurie's key insights?
Current License: CC BY-SA 2.5
23 events
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| Apr 21, 2017 at 20:34 | review | Close votes | |||
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| Oct 3, 2010 at 22:55 | answer | added | Mike Shulman | timeline score: 23 | |
| Oct 3, 2010 at 19:29 | answer | added | Sándor Kovács | timeline score: 8 | |
| Sep 8, 2010 at 15:33 | comment | added | Tim Porter | At the Minnesota conference on higher categories, an excellent feature was that many of the main survey talks were given by people who had not been the originators of that aspect of the theory although usually they were experts on it. The `originators' were usually in the audience and the insights gained by all (or at least by me :-)) were considerable. | |
| Sep 7, 2010 at 3:43 | comment | added | Minhyong Kim | Martin Brandenburg: It's not clear that a general overview of a theory is best provided by its originator. | |
| Sep 6, 2010 at 12:18 | history | rollback | Daniel Moskovich |
Rollback to Revision 2 - rollback- last paragraph was extra
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| Sep 6, 2010 at 12:02 | answer | added | Tim Porter | timeline score: 64 | |
| Sep 6, 2010 at 11:17 | history | edited | Daniel Moskovich | CC BY-SA 2.5 |
EDIT added; deleted 1 characters in body; deleted 1 characters in body; edited body
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| Sep 6, 2010 at 10:50 | comment | added | Daniel Moskovich | A more specific question, like "what were the key ideas behind the proof of the cobordism hypothesis", would be less interesting (but also very interesting). There are a few key ideas, key themes, which repeat in anyone's collected work. Milnor, for instance, repeatedly used torsion, leading to breakthrough after breakthrough. I'm interested in one or two specific problems, but more in the body of work as a whole. Especially because all the tools Jacob works with (higher categories, topi, homotopy theory, stacks) look familiar, and many have combined them before. | |
| Sep 6, 2010 at 10:39 | comment | added | gowers | As an example of the kind of symbiosis that the internet makes possible so nicely, I shall now link from my blog post to this discussion. | |
| Sep 6, 2010 at 10:28 | answer | added | Lennart Meier | timeline score: 36 | |
| Sep 6, 2010 at 9:31 | comment | added | Victor Protsak | Can you, please, change the title to a more neutral form, perhaps, along the lines of "What are some key ideas behind higher topos theory"? Strange as this may sound, I think that using a personal name in the title is responsible for all the talk of superheros and other sillyness, which distracts from answering the question mathematically. | |
| Sep 6, 2010 at 8:18 | comment | added | skupers | @Martin: mathoverflow.net/users/7721/jacob-lurie | |
| Sep 6, 2010 at 6:37 | comment | added | Martin Brandenburg | It would be great if Jacob becomes a MO member and answers this question. ;) | |
| Sep 6, 2010 at 3:52 | answer | added | Noah Snyder | timeline score: 19 | |
| Sep 6, 2010 at 3:45 | comment | added | Noah Snyder | Lots of math is done using a lot of good ideas put together, rather than a superidea. Believing in superideas seems to me just as naive as believing in superheroes. Certainly someone who works more efficiently or thinks more clearly would be able to get more good work done without needing to posit some special qualities of genius. What was Euler's superidea? (None of the above is meant to refer to Jacob's work specifically.) | |
| Sep 6, 2010 at 0:53 | comment | added | Daniel Moskovich | I don't believe in superheros in math- I believe in super ideas. I don't believe that Jacob Lurie was just trying the same thing everyone else was trying, and it happened to work for him because of greater intelligence or technical ability. There must have been key new ideas he brought to the table, and if Gromov is to be believed about the number of great ideas a mathematician has in life, then the number of these essentially new ideas is small. Most important, there's insight to be gained in knowing what these ideas are, because they led to breakthrough where so many had been stuck. | |
| Sep 6, 2010 at 0:28 | comment | added | S. Carnahan♦ | There seems to be an implicit assumption in the above paragraph that Jacob had only one key idea, and I strongly disagree with that. I'd rather say that he has a rare combination of technical mastery and drive to view ideas in a broad context. | |
| Sep 5, 2010 at 23:15 | comment | added | Daniel Moskovich | tense changed . | |
| Sep 5, 2010 at 23:14 | history | edited | Daniel Moskovich | CC BY-SA 2.5 |
tense changed
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| Sep 5, 2010 at 23:08 | comment | added | dvitek | Why is this in the past tense? | |
| Sep 5, 2010 at 22:56 | answer | added | André Henriques | timeline score: 27 | |
| Sep 5, 2010 at 21:11 | history | asked | Daniel Moskovich | CC BY-SA 2.5 |