Penn Arts & Sciences Logo

Graduate Student Geometry-Topology Seminar

Wednesday, October 4, 2017 - 12:00pm

Esteban Paduro Williamson

University of Pennsylvania


University of Pennsylvania


The finiteness theorems state that given certain bounds on the volume, diameter and curvature, the number of diffeomorphism classes is finite. Under the same conditions the Gromov-Hausdorff distance allow to describe when nearby manifolds are diffeomorphic. Our goal is to understand how the Gromov-Hausdorff distance interacts with these geometric properties and how we get finiteness from compactness results for the Gromov-Hausdorff distance.