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La formule des traces locale tordue


About this Title

Colette Mœglin and J.-L. Waldspurger

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

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Table of Contents


Chapters

  • Chapter 1. La formule des traces locale tordue tlt
  • Chapter 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 âĂIJMorning SeminarâĂİ. 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.

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