Arthur's Invariant Trace Formula and Comparison of Inner Forms - Couverture rigide

Flicker, Yuval Z.

Couverture rigide

ISBN 10 : 3319315919 ISBN 13 : 9783319315911

Editeur : Birkhauser Verlag AG, 2016

Synopsis

This monograph provides an accessible and comprehensive introduction to James Arthur's invariant trace formula, a crucial tool in the theory of automorphic representations. It synthesizes two decades of Arthur's research and writing into one volume, treating a highly detailed and often difficult subject in a clearer and more uniform manner without sacrificing any technical details.
The book begins with a brief overview of Arthur's work and a proof of the correspondence between GL(n) and its inner forms in general. Subsequent chapters develop the invariant trace formula in a form fit for applications, starting with Arthur's proof of the basic, non-invariant trace formula, followed by a study of the non-invariance of the terms in the basic trace formula, and, finally, an in-depth look at the development of the invariant formula. The final chapter illustrates the use of the formula by comparing it for G' = GL(n) and its inner form G
Arthur's Invariant Trace Formula and Comparison of Inner Forms will appeal to advanced graduate students, researchers, and others interested in automorphic forms and trace formulae. Additionally, it can be used as a supplemental text in graduate courses on representation theory.

Détails de l'édition

• Éditeur: Birkhauser Verlag AG
• Date d'édition: 2016
• Langue: anglais
• ISBN 10: 3319315919
• ISBN 13: 9783319315911
• Reliure: Relié
• Numéro d'édition: 1
• Nombre de pages: 578
• Coordonnées du fabricant: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Allemagne