Speaker
Prof.
Raquel Perales
(Instituto de Matemáticas, UNAM, Mexico)
Description
In this talk we will see that given a closed, orientable Alexandrov space (X,d) we will define an integral current T defined on X with weight equal to 1 and boundary of T equal to zero. In other words, this extends to Alexandrov Spaces the canonical current defined on a closed oriented Riemannian manifold. We will recall that non collapsing sequences of closed oriented compact Riemannian manifolds with a uniform diameter upper bound and a uniform lower Ricci curvature bound have subsequences that converge in both intrinsic flat and Gromov-Hausdorff sense to the same limit space. Thus, at the end of the talk we will study the intrinsic flat convergence of sequences of Alexandrov Spaces.
