Get Arthur's Invariant Trace Formula and Comparison of Inner PDF

By Yuval Flicker

This monograph presents an obtainable and accomplished creation to James Arthur’s invariant hint formulation, a vital instrument within the idea of automorphic representations.  It synthesizes twenty years of Arthur’s learn and writing into one quantity, treating a hugely precise and sometimes tough topic in a clearer and extra uniform demeanour with out sacrificing any technical details. 

The ebook starts with a quick evaluation of Arthur’s paintings and an explanation of the correspondence among GL(n) and its internal kinds quite often.  Subsequent chapters advance the invariant hint formulation in a sort healthy for functions, beginning with Arthur’s evidence of the elemental, non-invariant hint formulation, via a research of the non-invariance of the phrases within the easy hint formulation, and, ultimately, an in-depth examine the advance of the invariant formulation.  The ultimate bankruptcy illustrates using the formulation by way of evaluating it for G’ = GL(n) and its internal shape G< and for features with matching orbital integrals.

Arthur’s Invariant hint formulation and comparability of internal Forms will entice complex graduate scholars, researchers, and others drawn 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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