MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

I am particularly interested in the comparison of the trace formula part of Jacquet-Langlands. But I found the original text hard to read.

share|cite|improve this question
Take a look at Jacquet and Gelbart article in Corvallis. They give a very nice account of the trace formula part of Jacquet-Langlands. – Venkataramana Feb 16 '13 at 2:02
A nice summary of the Jacquet-Langlands Lecture Notes, is Alain Robert 's Bourbaki seminar… – Alain Valette Feb 16 '13 at 22:58
How about Gelbart's book "Automorphic Forms on Adele Groups"? Especially section 10 where he explains the comparison of the trace formulas. – Judith Ludwig Feb 22 '13 at 10:15

I think that you may like the notes by Ioan Badulescu: see

They are a 20 pages modern essentially complete exposition of the proof of Jacquet-Langlands not only for $Gl_2$ but for higher higher rank linear groups and their inner form as well.

share|cite|improve this answer
@Joel: thanks for the notes. I am at the Tata Institute but I did not know about them! I looked through the notes. They treat only the local correspondence; not the global one. I believe that most of the last chapter of Jacquet-Langlands is about the $global$ correspondence. Of course, the "local" statement uses some global ideas, but I think these notes do not treat completely the global case. – Venkataramana Feb 17 '13 at 5:19

I suggest Gelbart Lecture notes Arthur trace formula in addition to Gelbart Jacquet (Aakumadula`s reference).

Here is a site with references:

share|cite|improve this answer
The LN only treat the number field case though, where as JL consider arbitrary global fields. – Marc Palm Jul 3 '13 at 12:10

Your Answer


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

Not the answer you're looking for? Browse other questions tagged or ask your own question.