Bibliographic Information

La formule des traces locale tordue

Colette Mœglin, J.-L. Waldspurger

(Memoirs of the American Mathematical Society, no. 1198)

American Mathematical Society, c2017

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Note

Includes bibliographical references (p. 183)

January 2018, volume 251, number 1198 (fifth of 6 numbers)

Description and Table of Contents

Description

A note to readers: This book is in French. 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. The authors follow Arthur's proof, but the treatement of the spectral side is more complicated in the twisted situation. They need to use the combinatorics of the ``Morning Seminar''. The authors' 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.

Table of Contents

La formule des traces locale tordue La formule des traces locale tordue sous forme symetrique Index des notations, par ordre alphabetique et par chapitre Bibliography

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