Arthur''s Invariant Trace Formula and Comparison of Inner Forms
Softcover reprint of the original 1st ed. 2016
Book Details
Format
Paperback / Softback
ISBN-10
3319810731
ISBN-13
9783319810737
Edition
Softcover reprint of the original 1st ed. 2016
Publisher
Birkhauser Verlag AG
Imprint
Birkhauser Verlag AG
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Apr 22nd, 2018
Print length
567 Pages
Product Classification:
AlgebraGroups & group theoryGroups and group theoryNumber theory
Ksh 21,600.00
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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.
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.
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.
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