Orbital Integrals are Motivic

Mathematics – Representation Theory

Scientific paper

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

Scientific paper

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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