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Some results and problems about evolutions of geometric structures


I will present some results, research lines and open problems
about the subject of geometric evolutions, mainly focusing on the two most famous ones: the mean curvature flow of a hypersurface in the Euclidean space and the Ricci flow of a metric on a differential manifold, discussing also some "variations" of the latter, that we recently investigated.

I will discuss some topics that were part of our research in the last years, for instance, the analysis and classification of the self-similar solutions and of their generalizations, and the extensions of these flows to "singular" (non-smooth) objects.
Finally, if time allows, I will mention some results about the connections between the two flows, like an unified approach to singularity analysis and the study of their "coupling".
http://cvgmt.sns.it/seminar/439/

When
Thu Jul 17, 2014 9:30am – 10:30am Coordinated Universal Time
Where
Scuola Normale Superiore, Aula Mancini (map)