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Rademacher's Theorem and Cheeger Differentiation III

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by James Gill of Saint Louis University

What
  • Analysis Seminar
When Fri, Apr 17, 2015
from 03:10 PM to 04:00 PM
Where Ritter Hall 222
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A classical result of Rademacher says that in Euclidean space Lipschitz functions are differentiable almost everywhere with respect to Lebesgue measure.  In 1999 Cheeger showed that the same is true for Lipschitz functions in certain types of very general metric spaces.  The question is: In this setting, what is a derivative?  In the final talk we sketch a proof of Cheeger's result and discuss some its implications.

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