Timeline for Power series defined by Witt vectors / Teichmüller representatives of p-adics
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| Jul 13, 2014 at 9:14 | comment | added | Laurent Berger | ... "Quiconque s’est intéressé aux corps locaux sait bien qu’une extension très ramifiée du corps $Q_p$ des nombres $p$-adiques ressemble à s’y méprendre à un corps de séries formelles à coefficients dans son corps résiduel. C’est sans doute Marc Krasner qui a tenté le premier de formuler ce phénomène abondamment utilisé depuis en théorie de Hodge p-adique [...]" (Fontaine, Bourbaki 1057). | |
| Jul 13, 2014 at 9:13 | comment | added | Laurent Berger | If you take $K$ to be ramified and play the same game, then as you increase the ramification, your two fields are "more and more isomorphic". This observation of Krasner is the basis for the theory of the "field of norms" and more recently the theory of "perfectoid spaces". Here is what Fontaine says about this in his recent Bourbaki exposé... | |
| Jul 10, 2014 at 16:01 | history | edited | Gro-Tsen | CC BY-SA 3.0 |
Fix typo pointed out in comment
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| Jul 10, 2014 at 15:29 | comment | added | Gro-Tsen | @Lubin: You're right. I replaced $\times$ by $\cdot$ everywhere. | |
| Jul 10, 2014 at 15:28 | history | edited | Gro-Tsen | CC BY-SA 3.0 |
replaced $\times$ by $\cdot$ for readability as per comment
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| Jul 10, 2014 at 13:21 | comment | added | Lubin | Your use of the $\times$ symbol makes this very hard to read. | |
| Jul 10, 2014 at 7:09 | history | edited | Gro-Tsen | CC BY-SA 3.0 |
added 573 characters in body
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| Jul 10, 2014 at 1:30 | history | asked | Gro-Tsen | CC BY-SA 3.0 |