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.
Graduate Student Geometry-Topology Seminar
Wednesday, October 4, 2017 - 12:00pm
Esteban Paduro Williamson
University of Pennsylvania