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Geometry of the space of probability measures November 21, 2011 (02:00 PM PST - 03:00 PM PST)
Parent Program: --
Location: MSRI: Simons Auditorium
Speaker(s) John Lott (University of California, Berkeley)
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The Wasserstein space of a compact metric space X is the space of Borel probability measures P(X), equipped with a certain metric W_2. This metric comes from the problem of how to optimally transport mass on X. If X is equipped with additional structure then the Wasserstein space inherits additional structure as well. I will give a historical introduction to these ideas and indicate why they are relevant to Riemannian geometry.

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