Read e-book online Arthur's Invariant Trace Formula and Comparison of Inner PDF

By Yuval Flicker

This monograph offers an available and finished advent to James Arthur’s invariant hint formulation, an important software within the concept of automorphic representations.  It synthesizes 20 years of Arthur’s examine and writing into one quantity, treating a hugely certain and sometimes tough topic in a clearer and extra uniform demeanour with no sacrificing any technical details. 

The publication starts with a short review of Arthur’s paintings and an explanation of the correspondence among GL(n) and its internal types more often than not.  Subsequent chapters strengthen the invariant hint formulation in a sort healthy for purposes, beginning with Arthur’s facts of the elemental, non-invariant hint formulation, through a learn of the non-invariance of the phrases within the easy hint formulation, and, eventually, an in-depth examine the advance of the invariant formulation.  The ultimate bankruptcy illustrates using the formulation by means of evaluating it for G’ = GL(n) and its internal shape G< and for services with matching orbital integrals.

Arthur’s Invariant hint formulation and comparability of internal Forms will attract complex graduate scholars, researchers, and others drawn to automorphic types and hint formulae.  Additionally, it may be used as a supplemental textual content in graduate classes on illustration theory.

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Arthur's Invariant Trace Formula and Comparison of Inner Forms by Yuval Flicker

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