Arthur's Invariant Trace Formula and Comparison of Inner Forms

Authors: Flicker, Yuval

  • A synthesis of two decades worth of research, combining results from Arthur’s many articles into one cohesive and accessible text
  • Author introduces the material in stages, balancing the need to motivate the reader while exploring the larger, more technical details
  • Will be a valuable resource as both a reference for researchers and as a tool for advanced graduate students in this area
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eBook 107,09 €
price for Spain (gross)
  • ISBN 978-3-319-31593-5
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 135,19 €
price for Spain (gross)
  • ISBN 978-3-319-31591-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

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.

Reviews

“In the book under review, the main original articles, together with a plethora of related details, that required to understand the trace formula theory, have been unified and written in a uniform, compact and self-contained way. … this book presents an excellent source for readers interested in the trace formula and its applications and should definitely make the process of entering the considered subject a lot easier both for graduate students and for interested researchers.” (Ivan Matić, zbMATH 1359.22014, 2017)


Buy this book

eBook 107,09 €
price for Spain (gross)
  • ISBN 978-3-319-31593-5
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 135,19 €
price for Spain (gross)
  • ISBN 978-3-319-31591-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Arthur's Invariant Trace Formula and Comparison of Inner Forms
Authors
Copyright
2016
Publisher
Birkhäuser Basel
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-31593-5
DOI
10.1007/978-3-319-31593-5
Hardcover ISBN
978-3-319-31591-1
Edition Number
1
Number of Pages
XI, 567
Number of Illustrations and Tables
3 b/w illustrations
Topics