Orbital Integrals are Motivic
Representation Theory
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.math/0212236,
title = {Orbital Integrals are Motivic},
author = {Thomas C. Hales},
journal= {arXiv preprint arXiv:math/0212236},
year = {2007}
}
Comments
10 pages, no figures. This paper is granted to the public domain