Flicker, Yuval, "Arthurs Invariant Trace Formula and Comparison of Inner Forms"
English | 2016 | ISBN-10: 3319315919 | 567 pages | pdf | 6 MB
A synthesis of two decades worth of research, combining results from Arthurs 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
This monograph provides an accessible and comprehensive introduction to James Arthurs invariant trace formula, a crucial tool in the theory of automorphic representations. It synthesizes two decades of Arthurs 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 Arthurs 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 Arthurs 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
Arthurs 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.