Timeline for Deligne's letter to Jean-Pierre Serre
Current License: CC BY-SA 3.0
22 events
| when toggle format | what | by | license | comment | |
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| Oct 7, 2018 at 17:49 | comment | added | Watson | Might it be this letter? | |
| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
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| Dec 26, 2012 at 16:11 | comment | added | Przemyslaw Chojecki | I haven't got it finally as I changed the way to attack the problem I had in mind. But still, I'd be very interested in seeing it. Also I would like to see other Deligne's letters if possible and it would be nice to have a place to collect them all (of course, with a permission of the author). | |
| Dec 16, 2012 at 6:09 | comment | added | Christian Stump | Is this letter publicly available by now? I came up with a similar question recently, mathoverflow.net/questions/116017/…, and then started a section in Deligne's wiki page on his hand-written letters (though I am not quite sure if this is the appropriate place to collect them). I would very much appreciate if someone having the letter -- and the permission to publish it -- would link it here and on the wiki page! | |
| Mar 12, 2012 at 19:37 | comment | added | user9072 | Why the bump of the question. Did the solution suggested in the last comments fail for some reason? | |
| Mar 12, 2012 at 15:51 | history | edited | Przemyslaw Chojecki | CC BY-SA 3.0 |
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| Dec 3, 2011 at 12:44 | history | edited | Przemyslaw Chojecki | CC BY-SA 3.0 |
added 56 characters in body
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| Dec 3, 2011 at 12:36 | comment | added | Przemyslaw Chojecki | Dear Matthew, thank you, I will be very grateful. I've read that the arguments are a bit different in that letter and that's why I'd like to see it. | |
| Dec 3, 2011 at 7:22 | comment | added | Emerton | Dear Przemyslaw, I have a copy of the letter (which I got from Dick Gross many years ago). I can send one to you. (I should have time in the next week or so.) Regards, Matthew P.S. Its arguments are different to those in the literature, e.g. in Mazur and/or Wiles. It more directly uses $p$-adic vanishing cycles. | |
| Nov 24, 2011 at 9:31 | comment | added | DamienC | What about kindly asking directly to Deligne? | |
| Nov 23, 2011 at 22:05 | comment | added | Przemyslaw Chojecki | @Rob: thank you, it will be useful, but I would like to see Deligne's letter(s) anyway. | |
| Nov 23, 2011 at 20:58 | comment | added | Rob Harron | (cont'd) modular Jacobians, pseudo-representations, Hida theory, etc. So, this is not Deligne's proof. But if all you want is some proof of this result, there you go. | |
| Nov 23, 2011 at 20:56 | comment | added | Rob Harron | The result on the form of the Gal rep at p is proved in Mazur–Wiles' On $p$-adic analytic families of Gal reps (ams.org/mathscinet-getitem?mr=860140) with some restrictions, and in Wiles' paper On ordinary λ-adic repss associated to modular forms (ams.org/mathscinet-getitem?mr=969243) without hypotheses in the Hilbert modular case. A proof is also sketched in Hida's book Geometric modular forms and elliptic curves Theorem 4.2.7 (together with a new proof of the existence of the Gal reps based on an idea of Shimura's). In particular, the ingredients are... | |
| Nov 23, 2011 at 20:20 | comment | added | Przemyslaw Chojecki | @Kevin: thank you for your answer. So now I'd be glad to see both letters of Deligne to Serre ;). | |
| Nov 23, 2011 at 20:04 | comment | added | Timothy Chow | @Kevin: I sometimes use the "poor-man's method" of editing comments: I copy the text of the old comment into a new comment, edit it, post the revised version, and delete the old comment. | |
| Nov 23, 2011 at 19:45 | comment | added | Kevin Buzzard | @Gunnar: I've definitely seen "[X]: personal communication from X" in references, so I would conjecture that the answer would be yes. | |
| Nov 23, 2011 at 19:44 | comment | added | Kevin Buzzard | PPS I wish we could edit comments. PPPS I think all the material in the letter will be covered in places like Mazur-Wiles. | |
| Nov 23, 2011 at 19:44 | comment | added | Gunnar Þór Magnússon | I wonder if we'll ever start getting these kind of questions about e-mails. | |
| Nov 23, 2011 at 19:43 | comment | added | Kevin Buzzard | PS I've never seen the actual 1974 letter. | |
| Nov 23, 2011 at 19:41 | comment | added | Kevin Buzzard | In retrospect, your comment shows me that we should have said something like "a 2007 letter from Deligne to Serre" or something. Thanks. I'll change this before it appears in print. | |
| Nov 23, 2011 at 19:40 | comment | added | Kevin Buzzard | The letter mentioned in Buzzard-Gee is a different letter, written only a few years ago. | |
| Nov 23, 2011 at 19:11 | history | asked | Przemyslaw Chojecki | CC BY-SA 3.0 |