Gromov-Hausdorff Distances, Borsuk-Ulam Theorems, and Vietoris-Rips Complexes

Explore a comprehensive lecture on advanced geometric and topological concepts, focusing on Gromov-Hausdorff distances, Borsuk-Ulam theorems, and Vietoris-Rips complexes. Delve into recent research that establishes lower bounds for Gromov-Hausdorff distances between spheres using Borsuk-Ulam theorems. Discover how these bounds are improved by connecting them to Vietoris-Rips complexes, leading to new generalizations of the Borsuk-Ulam theorem. Learn about this collaborative polymath-style project involving researchers from Colorado State, Ohio State, Carnegie Mellon, and Freie Universität Berlin. Access accompanying slides for visual aid and deeper understanding of the presented concepts. This 57-minute talk, presented by Henry Adams for the EPFL Applied Topology Seminar, offers valuable insights into cutting-edge developments in applied algebraic topology.

Henry Adams (3/22/22): Gromov-Hausdorff distances, Borsuk-Ulam theorems, and Vietoris-Rips complexes