Arthur's Invariant Trace Formula and Comparison of Inner Forms by Yuval Z. Flicker

Arthur's Invariant Trace Formula and Comparison of Inner Forms

byYuval Z. Flicker

Kobo ebook | September 14, 2016

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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.

Title:Arthur's Invariant Trace Formula and Comparison of Inner FormsFormat:Kobo ebookPublished:September 14, 2016Publisher:Springer International PublishingLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:3319315935

ISBN - 13:9783319315935