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UID:6419b3301c3b602e6aee7f4ba3aef810
CATEGORIES:Topology/Geometry Seminar
CREATED:20250210T093517
SUMMARY:Gromov-like distances between spheres
LOCATION:Hill 705
DESCRIPTION:<p>Notions of distances between metric (measure) spaces such as the Gromov-
 Hausdorff&nbsp;distance and its Optimal Transport variants are nowadays oft
 en invoked in applications related to data classification. Interestingly, t
 he precise value of these distances&nbsp;on pairs of canonical shapes is kn
 own only in very limited cases. In this talk, I will describe lower bounds 
 for the Gromov-Hausdorff&nbsp;distance between spheres&nbsp;(endowed with t
 heir geodesic distances) which we prove to be tight in some cases via the c
 onstruction of optimal correspondences.&nbsp; These lower bounds arise&nbsp
 ;from&nbsp;applying a certain version of the Borsuk-Ulam theorem for discon
 tinuous functions.&nbsp;</p>
CONTACT:Facundo Memoli Techera, Rutgers
DTSTAMP:20260829T125205
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DTEND;TZID=America/New_York:20250225T170000
SEQUENCE:0
TRANSP:OPAQUE
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