Title	Arc spaces, motivic measure and Lipschitz geometry of real algebraic sets
Creator	Parusinski, Adam
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-10-22T09:00
Description	We investigate connections between Lipschitz geometry of real algebraic varieties and properties of their arc spaces. First we define a real motivic integral which admits a change of variable formula not only for the birational but also for generically one-to-one Nash maps. As a consequence we obtain an inverse mapping theorem which holds for generically arc-analytic maps. Then we characterize in terms of the motivic measure, germs of arc-analytic homeomorphisms between real algebraic varieties which are bi-Lipschitz for the inner metric. (Based on a joint paper with J.-B. Campesato, T. Fukui, and K. Kurdyka.)
Extent	63.0
Subject	Mathematics; Algebraic geometry; Several complex variables and analytic spaces
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Nice-Sophia Antipolis University
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2019-04-21
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0378338
URI	http://hdl.handle.net/2429/69813
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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