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

By Yuval Flicker

This monograph presents an available and entire creation to James Arthur’s invariant hint formulation, an important software within the idea of automorphic representations.  It synthesizes 20 years of Arthur’s study and writing into one quantity, treating a hugely exact and sometimes tough topic in a clearer and extra uniform demeanour with out sacrificing any technical details. 

The ebook starts off with a short assessment of Arthur’s paintings and an explanation of the correspondence among GL(n) and its internal types usually.  Subsequent chapters improve the invariant hint formulation in a sort healthy for purposes, beginning with Arthur’s facts of the elemental, non-invariant hint formulation, by means of a examine of the non-invariance of the phrases within the uncomplicated hint formulation, and, eventually, an in-depth examine the improvement of the invariant formulation.  The ultimate bankruptcy illustrates using the formulation via evaluating it for G’ = GL(n) and its internal shape G< and for capabilities with matching orbital integrals.

Arthur’s Invariant hint formulation and comparability of internal Forms will attract complex graduate scholars, researchers, and others attracted to automorphic kinds 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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