Timeline for P-adic L functions
Current License: CC BY-SA 2.5
10 events
| when toggle format | what | by | license | comment | |
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| Apr 21, 2011 at 17:23 | vote | accept | Arijit | ||
| Oct 27, 2010 at 22:29 | comment | added | Chris Wuthrich | Yes, there are at least three formulations of the main conjecture for elliptic curves with supersingular reduction at $p$. By Perrin-Riou, by Kato and then by Kobayashi. They are all equivalent. Probably Kobayashi's approach using his $\pm$ Selmer groups linking them to $\pm$ $p$-adic $L$-functions by Pollack is probably the best accessible one. | |
| Oct 27, 2010 at 22:21 | history | edited | Alon Amit | CC BY-SA 2.5 |
minor LaTeX fix
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| Oct 27, 2010 at 21:52 | answer | added | Chris Wuthrich | timeline score: 28 | |
| Oct 27, 2010 at 20:58 | comment | added | Arijit | Thanks a lot Daniel. But I didnt get anything out of that discussion. | |
| Oct 27, 2010 at 20:51 | comment | added | Arijit | @ Hunter I understand what you are trying to say. But that is something the p-adic L function satisfies rather than be its definition. As for the main conjectures, that is the Iwasawa point of view. A related but different question have people formulated the main conjecture for elliptic curves with supersingular reduction? | |
| Oct 27, 2010 at 20:39 | comment | added | Daniel Moskovich | Closely related question: mathoverflow.net/questions/37374/… | |
| Oct 27, 2010 at 20:33 | comment | added | Hunter Brooks | I know you're looking for something more conceptual, but at an elementary level, you can think of the claim "a p-adic L-function exists corresponding to a given family of L-functions" as another way of saying "lots of interesting congruences hold between various (algebraic) special values of the L-functions in this family." Even if we didn't know any main conjectures, though, the first phrasing would still be better than the second in that it is less "Archimedio-centric." | |
| Oct 27, 2010 at 20:21 | answer | added | Charles Matthews | timeline score: 3 | |
| Oct 27, 2010 at 18:43 | history | asked | Arijit | CC BY-SA 2.5 |