Philippe Delanoe - "Transport Equations And Geometry: A Survey"

The talk will bear on the following questions:
Why transporting volume-forms? How to do it in an optimal way? 
What are the properties of the related, optimal transport, partial differential equations?
(last part based on the recent paper whose DOI link is: 
http://dx.doi.org/10.1016/j.difgeo.2007.11.025)