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Orbital integrals are motivic
Author(s):
Thomas
C.
Hales
Journal:
Proc. Amer. Math. Soc.
133
(2005),
1515-1525.
MSC (2000):
Primary 22E50
Posted:
December 15, 2004
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Abstract:
This article shows that under general conditions,  -adic orbital integrals of definable functions are represented as the trace of a Frobenius operator on a virtual motive. This gives an explicit example of the philosophy of Denef and Loeser, which predicts that all ``naturally occurring''  -adic integrals are motivic.
References:
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Additional Information:
Thomas
C.
Hales
Affiliation:
Department of Mathematics, University of Pittsburgh, Pittsburgh, Pennsylvania 15260
Email:
hales@pitt.edu
DOI:
10.1090/S0002-9939-04-07740-8
PII:
S 0002-9939(04)07740-8
Received by editor(s):
January 7, 2002
Received by editor(s) in revised form:
October 24, 2003
Posted:
December 15, 2004
Additional Notes:
This research was supported by NSF grant 245332
Communicated by:
Dan M. Barbasch
Copyright of article:
Copyright
2004,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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