Metric Geometry Courses and Certifications

Banach Center

Distance, Curvature and Symmetry - A Haphazard Tour Through Metric Geometry

Explore metric geometry through distance, curvature, and symmetry concepts, gaining insights into fundamental mathematical principles and their applications in spatial analysis.

• YouTube
• 1 hour 12 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Functional Inequalities in Metric Geometry - Lecture 3

Explore discrete functional inequalities as invariants for bi-Lipschitz embeddings, examining nonlinear type/cotype, convexity, and spectral gap to deduce nonembeddability results for various graphs.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Functional Inequalities in Metric Geometry - Part I

Explore discrete functional inequalities as invariants in bi-Lipschitz embeddings, examining nonlinear type/cotype, convexity, and spectral gap for nonembeddability insights.

• YouTube
• 1 hour 9 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Functional Inequalities in Metric Geometry - Part II

Explore discrete functional inequalities as invariants for bi-Lipschitz embeddings, examining nonlinear type/cotype, convexity, and spectral gap to deduce nonembeddability results for various graphs.

• YouTube
• 1 hour 16 minutes
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

On the Metric Geometry of General Lebesgue Spaces and Metrics in Medical Imaging Analysis

Explore advanced metric geometry concepts, focusing on generalized Lebesgue spaces and their applications in medical imaging, including SPD matrices, probability simplex, and manifold-valued data analysis.

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

Hausdorff Center for Mathematics

Functional Inequalities in Metric Geometry - Lecture 4

Explore discrete functional inequalities as invariants for bi-Lipschitz embeddings, examining nonlinear type/cotype, convexity, and spectral gap to deduce nonembeddability results for various graphs.

• YouTube
• 1 hour 14 minutes
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Metric Geometry of Spaces of Persistence Diagrams

Explore metric geometry of persistence diagram spaces, focusing on synthetic curvature bounds and applications in non-smooth, infinite-dimensional contexts.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Non-Regular Spacetime Geometry via Metric Measure Geometry

Explore non-regular spacetime geometry using metric geometry, extending Lorentzian geometry beyond classical differential geometry for low-regularity spacetimes and general spaces.

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

Banach Center

Noncommutative Metric Geometry

Explore fundamental concepts of noncommutative metric geometry and its mathematical applications through advanced theoretical frameworks and analytical approaches.

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

Joint Mathematics Meetings

Metric Representations - Algorithms and Geometry

Explore metric representations, algorithms, and geometry in this lecture covering multidimensional scaling, metric repair, optimization techniques, and dimensionality reduction.

• YouTube
• 56 minutes
• On-Demand
• Conference Talk

Banach Center

Noncommutative Metric Geometry

Explore noncommutative metric geometry with David Kyed, delving into advanced mathematical concepts and their applications in modern geometry.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

The Funk Metric in Convex Geometry and Related Fields

Explore the Funk metric's connections to convex geometry, affine geometry, and combinatorics. Discover its projective invariance and relations to various conjectures and theorems.

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

NCCR SwissMAP

Symplectic Geometry of the Teichmueller Space of Hyperbolic 0-Metric

Explore symplectic geometry of Teichmueller space for hyperbolic 0-metric, delving into quantisation of moduli spaces from various perspectives.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

Centre for Networked Intelligence, IISc

Statistics of Successive Successful Transmissions - A Metric for Reliability in Stochastic Geometry

Explore a new stochastic geometry metric for reliability: statistics of successive successful transmissions, with applications to automotive radar networks and target tracking probability optimization.

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

Hausdorff Center for Mathematics

Optimal Transportation - Junior Trimester Program

Explore advanced mathematical concepts in optimal transportation theory through expert lectures covering gradient flows, large deviations, and geometric analysis applications.

• YouTube
• 2 days 7 minutes
• On-Demand
• Free Video