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Theoretical issues and applications of the Selberg, Arthur and relative trace formulas

2 votes
1 answer
317 views

Arthur-Clozel Prop 3.1 for Function Fields?

The subject says it all. I would like to know if Proposition 3.1 in Arthur-Clozel's book on the trace formula holds for local fields of positive characteristic. Thanks! EDIT: Here is Prop 3.1 of Art …
Nicolás's user avatar
  • 2,842
10 votes
1 answer
1k views

Carayol via the trace formula

Hi, Is there a proof of the result that Carayol proves in "Sur les representations l-adiques..." using the Langlands-Kottwitz method of comparing the Lefschetz trace formula and the Selberg trace for …
Nicolás's user avatar
  • 2,842
5 votes
0 answers
681 views

Base change and Langlands' combinatorial exercise

Is it correct that Langlands' combinatorial exercise (as he terms it in his paper "Shimura varieties and the Selberg trace formula") is to establish base change identities between orbital integrals of …
Nicolás's user avatar
  • 2,842
4 votes
2 answers
389 views

vanishing of spectral term in Arthur-Selberg trace formula for GL(2)?

Hi, In the Arthur-Selberg trace formula for $G = GL(2)/\mathbf Q$ (as seen for example in Gelbart's "Lectures on the Trace Formula"), the spectral side includes terms like: $$ \int_{-\infty}^\infty t …
Nicolás's user avatar
  • 2,842