Timeline for Some clarifications on Connes' approach to RH
Current License: CC BY-SA 4.0
18 events
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Aug 5, 2018 at 6:30 | review | Close votes | |||
Aug 6, 2018 at 17:56 | |||||
Aug 5, 2018 at 6:11 | comment | added | santker heboln | Possible duplicate of What is precisely still missing in Connes' approach to RH? | |
Jun 3, 2018 at 13:44 | comment | added | Yemon Choi | @MartinArgerami This accords with my own understanding, based on the dates and also on Araki's article for the ICM. I've updated the main text, just because some of this NC(D)G revisionism grates slightly with me | |
Jun 3, 2018 at 13:43 | history | edited | Yemon Choi | CC BY-SA 4.0 |
Implemented correction re Fields medal, as pointed out by another commenter
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Jun 2, 2018 at 7:21 | comment | added | Just-A-Poster-Here | ... ie the semidirect product of the half line by multiplication by positive integers. This site comes endowed with the structure sheaf of piecewise affine convex functions with integral slopes: a geometric structure of tropical type. We use mathematics in characteristic one to obtain Riemann-Roch formulas in this context, and generalizations of the Jensen formula to almost periodic functions in order to relate the existence part in Riemann-Roch to known results in complex geometry. | |
Jun 2, 2018 at 7:20 | comment | added | Just-A-Poster-Here | Here is Connes' abstract for next week (2 comments): I will explain in my talk the slow progression in the understanding of a geometry allowing one to get the explicit formulas as a trace formula, the zeta function as a Hasse-Weil counting and to start transposing the proof of Weil using a Riemann-Roch formula following Mattuck, Tate and Grothendieck. The work extends over twenty years and is joint work with Consani in the last ten years. During this last period we found the topos theoretic interpretation of the adele class space as the space of points of the scaling site ... | |
May 30, 2018 at 21:30 | comment | added | Martin Argerami | As a minor point, I don't think he got the Fields Medal for his work on non-commutative geometry. By 1982 he had already started with it, but his great triumphs were the classification of type III factors, and of (almost) all AFD factors; and all the work and ideas that came with them. | |
May 30, 2018 at 11:56 | history | reopened |
user87684 Mikhail Katz Francois Ziegler Jan-Christoph Schlage-Puchta Stefan Kohl♦ |
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May 30, 2018 at 9:09 | comment | added | Just-A-Poster-Here | I have my own opinions on the matter, but Connes himself (perhaps in preparation for the Bristol workshop next week) put a preprint on arXiv a few days ago. arxiv.org/abs/1805.10501 | |
May 30, 2018 at 7:08 | comment | added | Gerry Myerson | What happened to my comment, suggesting this might be a duplicate of mathoverflow.net/questions/259263/… ? | |
May 30, 2018 at 6:35 | review | Reopen votes | |||
May 30, 2018 at 11:56 | |||||
May 30, 2018 at 6:25 | comment | added | user113393 | Although many questions about RH tend to lead to opinion based answers, which is why some users voted to close this one, I kind of have a strong feeling, judging from the contents and writing style, that the answer this question got, is not actually opinion based, but based on expertise, and if this question shows "on hold", I also have the feeling this may get kind of weird, at some point | |
May 30, 2018 at 6:13 | history | edited | user122630 | CC BY-SA 4.0 |
added 313 characters in body
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May 30, 2018 at 6:08 | history | closed |
j.c. Steven Landsburg Andy Putman abx user6976 |
Opinion-based | |
May 30, 2018 at 3:47 | vote | accept | CommunityBot | ||
Jun 4, 2018 at 15:47 | |||||
May 30, 2018 at 3:00 | answer | added | user87684 | timeline score: 40 | |
May 30, 2018 at 2:49 | review | Close votes | |||
May 30, 2018 at 6:08 | |||||
May 30, 2018 at 2:04 | history | asked | user122630 | CC BY-SA 4.0 |