Timeline for Katz Modular Functions and Emerton's Completed Cohomology
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 24, 2011 at 6:14 | comment | added | ndk | Dear Joel. A while ago, I also heard a mathematician mentioning the thesis of a student of Coleman. As little as I know, he tried to construct some (symmetric tensor ???) L-function on the eigencurve. But there are serious mistake(s) in his work, and you are looking at it, according to that mathematician. Does your paper "critical p-adic L-function" address that problem, or is it just another project? | |
| Jun 23, 2011 at 7:11 | comment | added | Joël | @Laurent : Oui ca va, et toi? @David : ? @Kevin : Yes, this is an application of the continuity argument axiomatized in Chenevier's paper comparing your quaternion algebra eigencurve zith Coleman-Mazur's, as soon as we have a working definition of Stevens' overconvergent modular symbols in family. For that, there are some mild technical difficulties solved by Pollack-Stevens and myself (for example the non-commutation of formation of those modules with base change, responsible of the exception in the result). | |
| Jun 22, 2011 at 20:45 | comment | added | Kevin Buzzard | t, as far as I know (this is the same preprint that actually introduced the notion). I think it's a great shame that the document was never finished -- it hugely influenced my mathematical career. However my impression from your comments above is that now everything in it has been written down by others. | |
| Jun 22, 2011 at 20:44 | comment | added | Kevin Buzzard | Joel: the result (1) was announced by Glenn Stevens in his famous unfinished paper on overconvergent modular symbols that he wrote in the 90s :-) It's basically the last statement of the paper. Glenn never wrote the proof down, as far as I know, but I constructed a proof in the early 2000s ("true for classical forms and small slope forms are classical on both sides so one can argue by continuity") and emailed him to ask if this was his proof too. It was. I am very pleased someone has finally written it down! The control theorem for the overconvergent symbols was first proved in Glenn's preprin | |
| Jun 22, 2011 at 18:17 | comment | added | Laurent Berger | Salut Joël, ça va? | |
| Jun 22, 2011 at 17:22 | comment | added | Joël | You are right: my webpage is www.brandeis.edu/~jbellaic | |
| Jun 22, 2011 at 17:20 | comment | added | Kevin Buzzard | Joel -- for a general reader of this page, the task of finding the work you refer to as "my preprint" is made much harder by the fact that you don't tell anyone your last name! It's clear to me who you must be, but I will not say just in case you really do want to keep it a secret... | |
| Jun 22, 2011 at 16:51 | history | answered | Joël | CC BY-SA 3.0 |