Arthur's Invariant Trace Formula and Comparison of Inner Forms



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Éditeur :

Birkhäuser


Paru le : 2016-09-14



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Description
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< and for functions with matching orbital integrals.


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.
Pages
567 pages
Collection
n.c
Parution
2016-09-14
Marque
Birkhäuser
EAN papier
9783319315911
EAN PDF
9783319315935

Informations sur l'ebook
Nombre pages copiables
5
Nombre pages imprimables
56
Taille du fichier
6543 Ko
Prix
147,69 €
EAN EPUB
9783319315935

Informations sur l'ebook
Nombre pages copiables
5
Nombre pages imprimables
56
Taille du fichier
9585 Ko
Prix
147,69 €

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