Take the 2-minute tour ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.

I'm looking for another letter of Pierre Deligne, this time to Jean-Pierre Serre (from around 1974 I think), in which he proves that the Galois representation associated to a certain Hecke eigenform is of specific form at p. This letter is mentioned, for example, in the remark 1.4 in here, or in the paper of B. Gross "A tameness criterion for Galois representations associated to modular forms (mod p)".

Additional question: Is it the same letter that is mentioned in Buzzard, Gee "The conjectural connections between automorphic representations and Galois representations"?

I will be grateful for your help.

edit: I'm pushing the question up. Does anyone have the mentioned letter?

share|improve this question
2  
The letter mentioned in Buzzard-Gee is a different letter, written only a few years ago. –  Kevin Buzzard Nov 23 '11 at 19:40
4  
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. –  Kevin Buzzard Nov 23 '11 at 19:41
15  
I wonder if we'll ever start getting these kind of questions about e-mails. –  Gunnar Magnusson Nov 23 '11 at 19:44
4  
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. –  Emerton Dec 3 '11 at 7:22
2  
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! –  Christian Stump Dec 16 '12 at 6:09
show 12 more comments

Know someone who can answer? Share a link to this question via email, Google+, Twitter, or Facebook.

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.