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Existence and removable singularity results for some fully nonlinear equations in geometry.

Speaker: 
M. Gursky
Institution: 
University of Notre Dame - Indiana
Schedule: 
Tuesday, April 18, 2006 - 10:30 to 11:30
Location: 
SISSA - Main Building - ground floor - room B
Abstract: 

In this talk I will describe some developments, occurred in the last 10-15 years, of the theory of optimal mass transportation, that finds its origin in a problem raised by G. Monge in 1781. I will give a skectchy picture of the broad range of applications of this theory, which covers variational formulations of evolution equations, functional and geometric inequalities, (nonsmooth) Riemannian geometry, and other fields.

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