Timeline for The 'real' use of Quantum Algebra, Non-commutative Geometry, Representation Theory, and Algebraic Geometry to Physics
Current License: CC BY-SA 2.5
22 events
| when toggle format | what | by | license | comment | |
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| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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| Jul 28, 2013 at 14:13 | comment | added | TROLLHUNTER | Everything you mentioned is already used in string theory, which reproduces all "actual" physics and is thus as real as it gets. | |
| Apr 1, 2012 at 9:11 | answer | added | Anton Lyubinin | timeline score: 3 | |
| Mar 31, 2012 at 17:39 | answer | added | Terry Loring | timeline score: 7 | |
| Feb 9, 2011 at 23:26 | answer | added | Peter Koroteev | timeline score: 8 | |
| Feb 9, 2010 at 3:20 | comment | added | GMRA | Ok I accept that. I just thought the question was so broad that either the answers would be a "big list" of examples, or someone would essentially write a little book as an answer ;) But I agree, the answers so far are very interesting. | |
| Feb 9, 2010 at 3:08 | answer | added | Kim Morrison | timeline score: 14 | |
| Feb 9, 2010 at 2:38 | comment | added | B. Bischof | the reason Kevin mentioned is precisely why I did not community wiki this question. | |
| Feb 9, 2010 at 2:01 | comment | added | Kevin H. Lin | In my opinion, while there will be no one "best" answer to this question, the answers so far are really super awesome and deserving of non CW points, and I predict the same to be true for future answers. | |
| Feb 9, 2010 at 0:02 | comment | added | GMRA | In my opinion this should be community wiki. | |
| Feb 8, 2010 at 23:51 | answer | added | José Figueroa-O'Farrill | timeline score: 35 | |
| Feb 8, 2010 at 23:34 | comment | added | Steve Huntsman | @Kevin--At the beginning of the introduction the observation that the sum of two KdV solitons is approximately a KdV soliton at long times is mentioned. The reference is really to Mumford. | |
| Feb 8, 2010 at 23:21 | comment | added | Kevin H. Lin | As far as I know, almost all of the connections between algebraic geometry and things-which-might-be-called-physics go through string theory. But I'd love if someone corrected me on this. | |
| Feb 8, 2010 at 23:14 | comment | added | Kevin H. Lin | @Steve Huntsman re KdV and AG: Could you be more specific? There are many articles in that volume. | |
| Feb 8, 2010 at 21:12 | comment | added | Ian Durham | I think this is a great question but wonder why the same people who have perniciously closed other broad foundational questions haven't jumped on this? Based on previous criteria, shouldn't it at least be a community wiki? | |
| Feb 8, 2010 at 21:09 | comment | added | Theo Johnson-Freyd | I am under the impression that the YB equation first arose in physics, and that quantum group were first invented in connection to quantum integrable systems. But I don't know any references, nor any definite facts, hence this is a comment, not an answer. | |
| Feb 8, 2010 at 20:18 | comment | added | Steve Huntsman | @BB: OK, then consider the Yang-Baxter equation en.wikipedia.org/wiki/Yang%E2%80%93Baxter_equation | |
| Feb 8, 2010 at 20:17 | comment | added | Steve Huntsman | There are also well known features of the KdV equation informed by algebraic geometry. See (e.g.) books.google.com/books?id=pEXmEUmnuMUC | |
| Feb 8, 2010 at 20:14 | comment | added | B. Bischof | I am familiar with the more classical representation theory applications to physics as in particle physics. I should have been more clear that I am referring to representation of quantum groups and the like. | |
| Feb 8, 2010 at 20:11 | comment | added | Steve Huntsman | Representation theory per se is ubiquitous in physics and chemistry. They usually abusively call it "group theory". See mathoverflow.net/questions/11784/… for starters. | |
| Feb 8, 2010 at 20:08 | answer | added | Steve Huntsman | timeline score: 11 | |
| Feb 8, 2010 at 19:43 | history | asked | B. Bischof | CC BY-SA 2.5 |