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La formule des traces locale tordue
About this Title
Colette Mœglin, CNRS, Institut de Mathématiques de Jussieu and J.-L. Waldspurger, CNRS, Institut de Mathématiques de Jussieu
Publication: Memoirs of the American Mathematical Society
Publication Year:
2018; Volume 251, Number 1198
ISBNs: 978-1-4704-2771-9 (print); 978-1-4704-4280-4 (online)
DOI: https://doi.org/10.1090/memo/1198
Published electronically: November 6, 2017
MSC: Primary 11F70, 11F72
Table of Contents
Chapters
- 1. La formule des traces locale tordue
- 2. La formule des traces locale torduesous forme symétrique
- Index des notations, par ordre alphabétique et par chapitre
Abstract
The text has two chapters. The first one, written by Waldspurger, proves a twisted version of the local trace formula of Arthur over a local field. This formula is an equality between two expressions, one involving weighted orbital integrals, the other one involving weighted characters. We follow Arthur’s proof, but the treatement of the spectral side is more complicated in the twisted situation. We need to use the combinatorics of the “Morning Seminar”. Our local trace formula has the same consequences as in Arthur’s paper on elliptic characters. The second chapter, written by Moeglin, gives a symmetric form of the local trace formula as in Arthur’s paper on Fourier Transform of Orbital integral and describes any twisted orbital integral, in the p-adic case, as integral of characters.- James Arthur, A local trace formula, Inst. Hautes Études Sci. Publ. Math. 73 (1991), 5–96. MR 1114210
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