Seminar
| Parent Program: | -- |
|---|---|
| Location: | SLMath: Eisenbud Auditorium |
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification
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.