What is Motivic Measure?

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These notes give an exposition of the theory of arithmetic motivic integration, as developed by J. Denef and F. Loeser. An appendix by M. Fried gives some historical comments on Galois stratifications.
20 pages, 2 figures. These are notes for the AMS Special Session on Current Events, Jan 9, 2004. This work is licensed under the Creative Commons Attribution License

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