Stabilisation de la formule des traces tordue Volume 1
Ce travail en deux volumes donne la preuve de la stabilisation de la formule des trace tordue.Stabiliser la formule des traces tordue est la méthode la plus puissante connue actuellement pour comprendre l'action naturelle du groupe des points adéliques d'
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Colette Moeglin Jean-Loup Waldspurger
Stabilisation de la formule des traces tordue Volume 1
Progress in Mathematics Volume 316
Series Editors Antoine Chambert-Loir, Université Paris-Diderot, Paris, France Jiang-Hua Lu, The University of Hong Kong, Hong Kong SAR, China Yuri Tschinkel, Courant Institute of Mathematical Sciences, New York, USA
More information about this series at http://www.springer.com/series/4848
Colette Moeglin • Jean-Loup Waldspurger
Stabilisation de la formule des traces tordue Volume 1
Colette Moeglin CNRS/Institut de Mathématiques de Jussieu-Paris-Rive-Gauche Paris, France
Jean-Loup Waldspurger CNRS/Institut de Mathématiques de Jussieu-Paris-Rive-Gauche Paris, France
ISSN 0743-1643 ISSN 2296-505X (electronic) Progress in Mathematics ISBN 978-3-319-30048-1 ISBN 978-3-319-30049-8 (eBook) DOI 10.1007/978-3-319-30049-8 Library of Congress Control Number: 2016959578 Mathematics Subject Classification (2010): 11F70, 11F72, 22E50, 22E55 © Springer International Publishing Switzerland 2016 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper This book is published under the trade name Birkhäuser, www.birkhauser-science.com The registered company is Springer International Publishing AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
Table des matières Volume 1 Préface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xxv I Endoscopie tordue sur un corps local Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . I.1 Les définitions de base . . . . . . . . . . . . . . . . . . . . . . . . I.1.1 Groupes et espaces tordus . . . . . . . . . . . . . . . . . I.1.2 Paires de Borel . . . . . . . . . . . . . . . . . . . . . . . I.1.3 Eléments semi-simples . . . . . . . . . . . . . . . . . . . I.1.4 L-groupes . . . . . . . . . . . . . . . . . . . . . . . . . . I.1.5 Données endoscopiques . . . . . . . . . . . . . . . . . . I.1.6 Systèmes de racines . . . . .
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