Timeline for A modern interpretation of Quillen's computation of the K theory of finite fields
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
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| Sep 22, 2020 at 21:53 | comment | added | Ben Wieland | The argument using Brauer lifting is a more complicated rearrangement to eliminate étale topology from his original very simple argument which appears in his 1970 ICM address, which proves the more general theorem that $BG(\mathbb F_q)^+[1/p]$ is the fiber of Frobenius on $BG[1/p]$. The cohomology of the connected algebraic group is the same as the compact group because the methods of computation (eg, Schubert cells) are all algebraic. | |
| Sep 22, 2016 at 3:54 | answer | added | Elden Elmanto | timeline score: 11 | |
| Aug 23, 2016 at 10:11 | comment | added | Sean Tilson | I do. I will write you a message. | |
| Aug 13, 2016 at 16:48 | comment | added | Dan Ramras | @SeanTilson I don't recall anything about this from WCATSS. | |
| Aug 10, 2016 at 12:17 | comment | added | Sean Tilson | Didn't Dwyer say something about this at the 2012 WCATSS? | |
| Aug 8, 2016 at 18:43 | comment | added | Dan Ramras | Quillen's famous Letter to Segal (where he talks about "freeing myself from the shackes of the simplicial way of thinking" and discovering the category Q) is from July 1972 - he says he discovered Q in Spring '72 - and the Annals paper in question was published in November 1972. There was an earlier preprint of the Annals paper, though, which is on the K-theory archive (math.uiuc.edu/K-theory/1006), but it's undated. | |
| Aug 8, 2016 at 18:42 | comment | added | Dan Ramras | For what it's worth, many years ago (2006?) I posed this question (more or less) to an expert on trace methods, and the response seemed to be that no such proof of Quillen's result is known. It's a little uncler whether Quillen was aware of Segal's K-theory construction and the Q-construction before he wrote the paper in question. My impression is that invented the plus-construction specifically for this calculation. One could probably determine the dates by looking through Quillen's notebooks. | |
| Aug 4, 2016 at 22:59 | history | edited | Dmitry Vaintrob | CC BY-SA 3.0 |
notational edits
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| Aug 4, 2016 at 22:38 | history | asked | Dmitry Vaintrob | CC BY-SA 3.0 |