Timeline for L'un des problèmes fondamentaux de la théorie des nombres
Current License: CC BY-SA 4.0
12 events
| when toggle format | what | by | license | comment | |
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| Sep 12, 2022 at 13:23 | comment | added | The Amplitwist | The link to the blog post by Lieven le Bruyn uses a snapshot saved on the Wayback Machine (as of revision 4). Today, that blog post is also directly available at neverendingbooks.org/langlands-versus-connes. The links to Connes's articles also use snapshots saved on the Wayback Machine; at least the first one is directly available at alainconnes.org/wp-content/uploads/renorm-galois.pdf (alternatively, at Numdam). | |
| Sep 12, 2022 at 13:16 | comment | added | The Amplitwist |
The link to Morava's article at springerlink.com is broken. Perhaps it is meant to point to the following one—? Morava, Jack, Some Weil group representations motivated by algebraic topology, Elliptic curves and modular forms in algebraic topology, Proc. Conf., Princeton/NJ 1986, Lect. Notes Math. 1326, 94–106 (1988). Zbl 0668.55002.
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| Jul 21, 2022 at 10:09 | history | edited | Glorfindel | CC BY-SA 4.0 |
3 broken links fixed
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| Nov 8, 2010 at 13:48 | comment | added | Chandan Singh Dalawat | Thomas, it is wonderful to see you coming back with more information. Thanks. $$ $$ | |
| Nov 8, 2010 at 13:30 | history | edited | Thomas Riepe | CC BY-SA 2.5 |
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| Oct 26, 2010 at 10:33 | comment | added | javier | Manin suggested that Deninger's "arithmetic site" should come from a theory of motives over the "absolute point" and that that absolute point should be thought of as $Spec \mathbb{F}_1$. The BC-system also appears to be related to the field with one element (cf Connes-Consani-Marcolli), and even earlier Smirnov suggested that realizing $Spec \mathbb{Z}$ as a curve over $\mathbb{F}_1$ could allow to translate Weil's proof of RH, so I'd say there is something about $\mathbb{F}_1$ here. And the field with one element does have to do with quantization. | |
| Oct 18, 2010 at 14:05 | history | edited | Thomas Riepe | CC BY-SA 2.5 |
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| Oct 18, 2010 at 13:27 | comment | added | Thomas Riepe | Yes, thanks for asking that question! Now I wonder what else may fit to that context and which sub-themes show up in all (Langlands, Lichtenbaum,Connes,...) of them. E.g. belongs Deningers mythical "arithmetic site" to it? Shows a "cosmic galois group" up there? Have all of those theories something to do with quantization? | |
| Oct 18, 2010 at 4:59 | comment | added | Chandan Singh Dalawat | No, I don't know of any connection. But both these answers have been very interesting. | |
| Oct 17, 2010 at 12:45 | comment | added | Thomas Riepe | Do you know if Connes' ideas relate to the Langlands-program or Lichtenbaum's cohomology? | |
| Oct 17, 2010 at 12:08 | comment | added | Chandan Singh Dalawat | It is indeed the interest shown by people like Connes which led me to ask the question. | |
| Oct 17, 2010 at 11:47 | history | answered | Thomas Riepe | CC BY-SA 2.5 |