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Topology, Geometry and Data Seminar - Saul Rodriguez Martin

Saul Rodriguez Martin
October 1, 2024
4:00 pm - 5:00 pm
Cockins 312

Saul Rodriguez Martin
The Ohio State University

Title
Some novel constructions of Gromov-Hausdorff-optimal correspondences between spheres

Abstract
We provide alternative proofs of recent results by Harrison and Jeffs which determine the precise value of the Gromov-Hausdorff (GH) distance between the circle S1 and the n-dimensional sphere Sn (for any n ∈ N) when endowed with their respective geodesic metrics. Additionally, we prove that the GH distance between S3 and S4 is equal to 1/2 arccos ( −1/4), thus settling the case n = 3 of a conjecture by Lim, Mémoli and Smith.

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