TY - BOOK

T1 - Arthur's invariant trace formula and comparison of inner forms

AU - Flicker, Yuval Z.

N1 - Publisher Copyright:
© Springer International Publishing Switzerland 2016.

PY - 2016/1/1

Y1 - 2016/1/1

N2 - 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.

AB - 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.

KW - Arthur's Invariant trace formula

KW - Automorphic representations

KW - Eisenstein series

KW - Invariant distributions

KW - Normalizing factors

KW - Orbital integrals

KW - Reductive groups

KW - Representation theory

UR - http://www.scopus.com/inward/record.url?scp=85016946504&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-31593-5

DO - 10.1007/978-3-319-31593-5

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AN - SCOPUS:85016946504

SN - 9783319315911

BT - Arthur's invariant trace formula and comparison of inner forms

ER -