## About this book

### Introduction

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.

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### Bibliographic information

- DOI https://doi.org/10.1007/978-3-319-31593-5
- Copyright Information Springer International Publishing Switzerland 2016
- Publisher Name Birkhäuser, Cham
- eBook Packages Mathematics and Statistics
- Print ISBN 978-3-319-31591-1
- Online ISBN 978-3-319-31593-5
- Buy this book on publisher's site