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Analysis and PDE

Analysis seminar: Mauricio Godoy Molina

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Speaker: Mauricio Godoy Molina, Postdoc, Mathematical Department, UiB

 

Title: Lipschitz maps.

 

Abstract: To conclude this semester's series of lectures presenting some basic concepts in geometric measure theory, I will focus on Lipschitz maps. I will explain what role do Lipschitz maps play in this measure-theoretic context, how far are they from being differentiable, what is the measure of the set of critical points of a Lipschitz map and what is the relation between them and the Hausdorff measure.