October 1, 2024
4:00PM - 5:00PM
Cockins 312
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2024-10-01 16:00:00
2024-10-01 17:00:00
Topology, Geometry and Data Seminar - Saul Rodriguez Martin
Saul Rodriguez MartinThe Ohio State UniversityTitleSome novel constructions of Gromov-Hausdorff-optimal correspondences between spheresAbstractWe 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.For More Information About the Seminar
Cockins 312
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
Date Range
2024-10-01 16:00:00
2024-10-01 17:00:00
Topology, Geometry and Data Seminar - Saul Rodriguez Martin
Saul Rodriguez MartinThe Ohio State UniversityTitleSome novel constructions of Gromov-Hausdorff-optimal correspondences between spheresAbstractWe 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.For More Information About the Seminar
Cockins 312
Department of Mathematics
math@osu.edu
America/New_York
public
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.
