Speaker: Facundo Mémoli from Ohio State University

Title: Gromov-like distances between spheres

Abstract: Distances between metric spaces such as the Gromov-Hausdorff distance and its Optimal Transport variants are nowadays often invoked in applications related to data classification. Interestingly, the precise value of these distances on pairs of canonical shapes is known only in very limited cases. In this talk, I will describe lower bounds for the Gromov-Hausdorff distance between spheres (endowed with their geodesic distances) which we prove to be tight in some cases via the construction of optimal correspondences.  These lower bounds arise from a certain version of the Borsuk-Ulam theorem which is applicable to discontinuous functions.

Instead of attending in-person in Weber 201, remote attendance is also possible:

https://us02web.zoom.us/j/89169787865?pwd=SEl1NGRQZUU5dDJaaXdEZnBnSy9xQT09 Meeting ID: 891 6978 7865; Passcode: 061760