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Arthur s Invariant Trace Formula and Comparison of Inner Forms Book PDF Summary

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.bribr/i/idiviiArthur’s Invariant Trace Formula and Comparison of Inner Forms/div

Detail Book of Arthur s Invariant Trace Formula and Comparison of Inner Forms PDF

Arthur s Invariant Trace Formula and Comparison of Inner Forms
  • Author : Yuval Z. Flicker
  • Release : 14 September 2016
  • Publisher : Birkhäuser
  • ISBN : 9783319315935
  • Genre : Mathematics
  • Total Page : 567 pages
  • Language : English
  • PDF File Size : 9,6 Mb

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