Arthur's Invariant Trace Formula And Comparison Of Inner Forms
by Yuval Flicker /
2016 / English / PDF
6.4 MB Download
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 and for functions with matching orbital integrals.bribr/idiviArthurs Invariant Trace Formula and Comparison of Inner Forms/div
