Vietoris-Rips Complexes Courses and Certifications

Applied Algebraic Topology Network

Star Clusters in Clique Complexes and the Vietoris-Rips Complex of Planar Sets

Explore star clusters in simplicial complexes and their applications to independence complexes and Vietoris-Rips complexes of planar sets, with insights on homotopy information and related conjectures.

• YouTube
• 50 minutes
• On-Demand
• Free Video

Applied Algebraic Topology Network

Homotopical Decompositions of Simplicial and Vietoris Rips Complexes

Explore homotopical decompositions of simplicial complexes, focusing on obstruction complexes and their applications in topological data analysis, with insights on Vietoris-Rips complexes.

• YouTube
• 31 minutes
• On-Demand
• Free Video

Applied Algebraic Topology Network

Vietoris-Rips Complexes of Hypercube Graphs

Explore Vietoris-Rips complexes of hypercube graphs, their collapsibility, and applications in genetic trees and persistent homology. Gain insights into simplicial complexes and topological data analysis.

• YouTube
• 34 minutes
• On-Demand
• Free Video

Applied Algebraic Topology Network

Henry Adams - Vietoris-Rips Complexes of Hypercube Graphs

Explore Vietoris-Rips complexes of hypercube graphs, their homotopy types, and applications in genetic recombination and persistent homology. Discover formulas, open questions, and conjectures in this fascinating area of applied algebraic topology.

• YouTube
• 45 minutes
• On-Demand
• Free Video

Applied Algebraic Topology Network

Vietoris-Rips Thickenings - Problems for Birds and Frogs

Explore open problems in Vietoris-Rips complexes, connecting diverse mathematical areas. Suitable for both broad theorists and problem-solving specialists in applied algebraic topology.

• YouTube
• 1 hour 18 minutes
• On-Demand
• Free Video

Applied Algebraic Topology Network

Bridging Applied and Quantitative Topology

Survey of emerging connections between applied and quantitative topology, focusing on Vietoris-Rips complexes and their applications in computational topology, geometric group theory, and dataset shape approximation.

• YouTube
• 58 minutes
• On-Demand
• Free Video

Applied Algebraic Topology Network

The Vietoris Rips Complex of the Circle

Explore the Vietoris-Rips complex of the circle, its homotopy types at different thresholds, and implications for persistent homology in topological data analysis.

• YouTube
• 57 minutes
• On-Demand
• Free Video

Applied Algebraic Topology Network

Vietoris-Rips Complexes and Applied Algebraic Topology Seminar

Explore advanced topics in Vietoris-Rips complexes, persistent homology, metric geometry, and their applications in applied algebraic topology through expert lectures.

• YouTube
• 1 day 16 hours 18 minutes
• On-Demand
• Free Video

Applied Algebraic Topology Network

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

Explore Gromov-Hausdorff distances, Borsuk-Ulam theorems, and Vietoris-Rips complexes in geometry. Learn about recent advancements in lower bounding distances between spheres using innovative mathematical techniques.

• YouTube
• 57 minutes
• On-Demand
• Free Video

Applied Algebraic Topology Network

Vietoris-Rips Complexes and Geometric Group Theory

Explore Vietoris-Rips complexes in geometric group theory, focusing on topological finiteness properties, hyperbolic groups, and recent developments in Morse theory and persistent homology.

• YouTube
• 51 minutes
• On-Demand
• Free Video

Applied Algebraic Topology Network

Homotopy Types of Vietoris–Rips Complexes of Metric Gluings

Explore homotopy types of Vietoris-Rips complexes in metric wedge sums and gluings, with applications to persistent homology of metric graphs and insights into open research directions.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Video

Applied Algebraic Topology Network

Johnathan Bush - Maps of Čech and Vietoris–Rips Complexes into Euclidean Spaces

Explore simplex-preserving maps in Čech and Vietoris–Rips complexes, their applications, and the challenge of finding such maps from various domains to Euclidean spaces.

• YouTube
• 45 minutes
• On-Demand
• Free Video

Fields Institute

Topology and Combinatorics - Uncovering Structures of Vietoris-Rips Complexes

Explore the intricate structures of Vietoris-Rips complexes through topology and combinatorics in this mathematical research presentation by Jelena Grbić.

• YouTube
• 50 minutes
• On-Demand
• Free Video

Applied Algebraic Topology Network

Applied Topology - Topological Data Analysis 2021

Explore topological data analysis through homology, persistent homology, clustering methods, and dimensionality reduction techniques for understanding dataset shapes and structures.

• YouTube
• 4 hours 12 minutes
• On-Demand
• Free Video

Applied Algebraic Topology Network

Applied Algebraic Topology Methods, Computation, and Science - ATMCS/AATRN 2020

Explore cutting-edge research in applied algebraic topology through expert presentations on persistence diagrams, homology, and computational methods for data analysis.

• YouTube
• 17 hours 43 minutes
• On-Demand
• Free Video