Timeline for Motivation of the construction of $p$-adic period rings
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 16, 2021 at 13:38 | answer | added | Olivier | timeline score: 4 | |
| Jul 16, 2021 at 8:11 | answer | added | Laurent Berger | timeline score: 7 | |
| Jul 13, 2021 at 8:59 | comment | added | User0829 | @ChrisWuthrich The second one is this question haha... I did checked the first link but it is not quite a question dealing what I asked in here. | |
| Jul 13, 2021 at 8:34 | comment | added | Chris Wuthrich | Searching for "Fontaine" on this site brings you to many similar questions, like mathoverflow.net/questions/54708/… mathoverflow.net/questions/91233/what-are-p-adic-period-rings and mathoverflow.net/questions/397399/… | |
| Jul 13, 2021 at 7:50 | comment | added | User0829 | @ali I definitely agree with you. But, as you may know, the birth of $B$ has nothing to do with the works of Scholze and others. What I am wondering are (1) if the constructions of $B$'s had purposed cutting parts of $H^1$ so that the subspaces corresponds to space of nice Galois representations and (2) if then, why the constructions should go by that way. | |
| Jul 13, 2021 at 7:33 | comment | added | ali | I think The works of Scholze and others in the past ten years give a good answer to this question. The point is that the Galois reprentations (even lattices in Galois representations ) are related to the shtukas on the Fargues-Fountaine curve and this ring appears naturally when you study that curve. A good starting point to learn about these things is Berckley notes | |
| Jul 13, 2021 at 6:09 | history | asked | User0829 | CC BY-SA 4.0 |