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La Formule des Traces Tordue d’après le Friday Morning Seminar

Jean-Pierre Labesse Institut Mathématique de Luminy, Marseille, France
Jean-Loup Waldspurger Institut Mathématique de Jussieu, Paris, France
with a Foreword by Robert Langlands
A co-publication of the AMS and Centre de Recherches Mathématiques
Available Formats:
Hardcover ISBN: 978-0-8218-9441-5
Product Code: CRMM/31
List Price: $105.00 MAA Member Price:$94.50
AMS Member Price: $84.00 Electronic ISBN: 978-0-8218-9479-8 Product Code: CRMM/31.E List Price:$99.00
MAA Member Price: $89.10 AMS Member Price:$79.20
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List Price: $157.50 MAA Member Price:$141.75
AMS Member Price: $126.00 Click above image for expanded view La Formule des Traces Tordue d’après le Friday Morning Seminar Jean-Pierre Labesse Institut Mathématique de Luminy, Marseille, France Jean-Loup Waldspurger Institut Mathématique de Jussieu, Paris, France with a Foreword by Robert Langlands A co-publication of the AMS and Centre de Recherches Mathématiques Available Formats:  Hardcover ISBN: 978-0-8218-9441-5 Product Code: CRMM/31  List Price:$105.00 MAA Member Price: $94.50 AMS Member Price:$84.00
 Electronic ISBN: 978-0-8218-9479-8 Product Code: CRMM/31.E
 List Price: $99.00 MAA Member Price:$89.10 AMS Member Price: $79.20 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.  List Price:$157.50 MAA Member Price: $141.75 AMS Member Price:$126.00
• Book Details

CRM Monograph Series
Volume: 312013; 234 pp
MSC: Primary 11; Secondary 20;

The trace formula for an arbitrary connected reductive group over a number field was developed by James Arthur. The twisted case was the subject of the Friday Morning Seminar at the Institute for Advanced Study in Princeton during the 1983–1984 academic year. During this seminar, lectures were given by Laurent Clozel, Jean-Pierre Labesse and Robert Langlands. Having been written quite hastily, the lecture notes of this seminar were in need of being revisited. The authors' ambition is to give, following these notes, a complete proof of the twisted trace formula in its primitive version, i.e., its noninvariant form. This is a part of the project of the Parisian team led by Laurent Clozel and Jean-Loup Waldspurger. Their aim is to give a complete proof of the stable form of the twisted trace formula, and to provide the background for the forthcoming book by James Arthur on twisted endoscopy for the general linear group with application to symplectic and orthogonal groups.

Graduate students and research mathematicians interested in automorphic representations and the Arthur-Selberg Trace formula.

• Chapters
• Géométrie et combinatoire
• Racines et convexes
• Espaces tordus
• Théorie de la réduction
• Théorie spectrale, troncatures et noyaux
• L’opérateur de troncature
• Formes automorphes et produits scalaires
• Le noyau intégral
• Décomposition spectrale
• La formule des traces grossère
• Formule des traces: état zéro
• Développement géométrique
• Développement spectral grossier
• Formule des traces: propriétés formelles
• Forme explicite des termes spectraux
• Introduction d’une fonction $B$
• Calcul de $A^T(B)$

• Requests

Review Copy – for reviewers who would like to review an AMS book
Accessibility – to request an alternate format of an AMS title
Volume: 312013; 234 pp
MSC: Primary 11; Secondary 20;

The trace formula for an arbitrary connected reductive group over a number field was developed by James Arthur. The twisted case was the subject of the Friday Morning Seminar at the Institute for Advanced Study in Princeton during the 1983–1984 academic year. During this seminar, lectures were given by Laurent Clozel, Jean-Pierre Labesse and Robert Langlands. Having been written quite hastily, the lecture notes of this seminar were in need of being revisited. The authors' ambition is to give, following these notes, a complete proof of the twisted trace formula in its primitive version, i.e., its noninvariant form. This is a part of the project of the Parisian team led by Laurent Clozel and Jean-Loup Waldspurger. Their aim is to give a complete proof of the stable form of the twisted trace formula, and to provide the background for the forthcoming book by James Arthur on twisted endoscopy for the general linear group with application to symplectic and orthogonal groups.

Graduate students and research mathematicians interested in automorphic representations and the Arthur-Selberg Trace formula.

• Chapters
• Géométrie et combinatoire
• Racines et convexes
• Espaces tordus
• Théorie de la réduction
• Théorie spectrale, troncatures et noyaux
• L’opérateur de troncature
• Formes automorphes et produits scalaires
• Le noyau intégral
• Décomposition spectrale
• La formule des traces grossère
• Formule des traces: état zéro
• Développement géométrique
• Développement spectral grossier
• Formule des traces: propriétés formelles
• Forme explicite des termes spectraux
• Introduction d’une fonction $B$
• Calcul de $A^T(B)$
Review Copy – for reviewers who would like to review an AMS book
Accessibility – to request an alternate format of an AMS title
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