Abstract
The main geometric terms of the Arthur-Selberg trace formula are the weighted orbital integrals. An important problem is to express these distributions as images by transfer of analogous distributions on endoscopic groups. Arthur has given a solution but under the hypothesis of the fundamental lemma of Langlands. In this paper, we prove some relations between the Fourier transforms of weighted orbital integrals on the Lie algebras of groups which are inner forms of each other. These relations hold unconditionnally and they provide some evidence for Arthur’s solution. Besides they should enable us to prove new results of transfer in the context of the non-invariant trace formula.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Journal für die reine und angewandte Mathematik (Crelles Journal)
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
