Ax-Kochen-Er{\v{s}}ov Theorems for $p$-adic integrals and motivic integration
Algebraic Geometry
2007-05-23 v1 Logic
Number Theory
Abstract
This survey paper, to appear in he proceedings of the Miami Winter School ``Geometric Methods in Algebra and Number Theory'', is concerned with extending classical results \`a la Ax-Kochen-Er{\v{s}}ov to -adic integrals in a motivic setting, using the framework of constructible motivic functions we introduced in math.AG/0410203. We conclude the paper by discussing briefly the relevance of our results to the study of orbital integrals and the Fundamental Lemma.
Keywords
Cite
@article{arxiv.math/0410223,
title = {Ax-Kochen-Er{\v{s}}ov Theorems for $p$-adic integrals and motivic integration},
author = {R. Cluckers and F. Loeser},
journal= {arXiv preprint arXiv:math/0410223},
year = {2007}
}
Comments
27 pages