Orbital Integrals are Motivic

2002/12/17 by Thomas C. Hales, Hales, Thomas C.
Mathematics · #FOS: Mathematics #Representation Theory (math.RT) #math.RT

paper · pdf · doi:10.48550/arxiv.math/0212236

10 pages, no figures. This paper is granted to the public domain

arxiv created 2002/12/17 · arxiv updated 2009/11/30

Abstract

This article shows that under general conditions, p-adic orbital integrals of definable functions are represented by virtual Chow motives. This gives an explicit example of the philosophy of Denef and Loeser, which predicts that all naturally occurring p-adic integrals are motivic.

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