| Abstract: |
| Singular metric spaces appear naturally in geometry, for example as Gromov-Hausdorff limits of smooth manifolds, quotients, or singularities in geometric flows. One way to study such singular spaces is to introduce weak notions of curvature and dimension, as successfully done in the work of K.~T.~Sturm and J.~Lott and C.~Villani by means of entropy and optimal transport. The aim of this talk is to present a new class of geometric examples of metric spaces satisying the curvature-dimension condition. Such class consists in manifolds with cone-like singularities, more precisely stratified spaces, satisfying an appropriate lower bound on the Ricci curvature. |
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