Graph Discretization of Riemannian Manifolds with Ricci Bounds - Approximation Theory

Explore graph discretization techniques for Riemannian manifolds with Ricci curvature bounds in this 26-minute conference talk. Learn about approximation methods that transform continuous geometric structures into discrete graph representations while preserving essential geometric properties. Discover how Ricci curvature constraints influence the discretization process and examine the theoretical foundations underlying these approximation techniques. Gain insights into the mathematical frameworks used to bridge differential geometry and discrete mathematics, with particular focus on maintaining geometric fidelity during the transition from smooth manifolds to graph structures. Understand the applications and implications of these discretization methods in computational geometry and geometric analysis.