Isoperimetric Inequalities Courses and Certifications

Institut Henri Poincaré

Isoperimetric Inequalities in High Dimensional Convex Sets - Lecture 4, Part 3

Explore isoperimetric inequalities in high-dimensional convex sets, focusing on Bourgain's slicing problem and the KLS conjecture. Gain insights from expert Joseph Lehec in this advanced mathematics lecture.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

A Sharp Isoperimetric-Type Inequality for Lorentzian Spaces Satisfying Time-Like Ricci Curvature Lower Bounds

Explore sharp isoperimetric-type inequalities in Lorentzian spaces with time-like Ricci curvature bounds, including applications to black holes and cosmological space-times.

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

Centre de recherches mathématiques - CRM

How to Prove Isoperimetric Inequalities by Random Sampling

Explore isoperimetric inequalities through random sampling. Learn probabilistic approaches to Lp affine isoperimetric inequalities in non-convex ranges, bridging Brunn-Minkowski and dual theories.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

Centre de recherches mathématiques - CRM

New Isoperimetric Inequalities and Their Applications to Systolic Geometry and Minimal Surfaces

Explore new isoperimetric inequalities for k-dimensional submanifolds, their applications to systolic geometry, and implications for minimal submanifolds in this mathematical colloquium.

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

Hausdorff Center for Mathematics

Isoperimetric and Poincaré Inequalities on the Hamming Cube

Explore isoperimetric inequalities on the Hamming cube and related L1 Poincaré inequalities, focusing on critical exponent 1/2 and joint research findings.

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

Hausdorff Center for Mathematics

Sharp Isoperimetric Inequalities on the Hamming Cube

Delve into advanced isoperimetric problems on the Hamming cube, exploring Talagrand's interpolation theory and two-point inequalities in mathematical analysis.

• YouTube
• 1 hour 22 minutes
• On-Demand
• Free Video

Applied Algebraic Topology Network

Isoperimetric Inequality for Hausdorff Contents and Its Applications

Explore isoperimetric inequality for Hausdorff contents, its applications in systolic geometry, and new systolic inequalities for non-simply connected Riemannian manifolds.

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

Applied Algebraic Topology Network

Yevgeny Liokumovich - Urysohn Width, Isoperimetric Inequalities and Scalar Curvature

Explore metric spaces, Hausdorff measure, and continuous mappings. Discover connections to isoperimetric inequalities and Riemannian geometry's positive scalar curvature.

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

Hausdorff Center for Mathematics

Blaschke–Santaló Inequalities for Minkowski and Asplund Endomorphisms

Explores new isoperimetric inequalities for monotone Minkowski endomorphisms, extending to Asplund endomorphisms of log-concave functions, generalizing the Blaschke–Santaló inequality in convex geometric analysis.

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

Institute for Pure & Applied Mathematics (IPAM)

Variational Proofs of Isoperimetric Inequalities

Explore variational proofs of isoperimetric inequalities, their generalizations, and open problems in this advanced mathematics lecture by Steven Heilman at IPAM's workshop.

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

ICTP Mathematics

Metric Currents, Isoperimetric Inequalities, and Compactness

Explore metric currents, isoperimetric inequalities, and compactness in geometric measure theory. Gain insights from expert S. Wenger on nonpositive sectional curvature and growth types in metric spaces.

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

International Mathematical Union

Ehud Friedgut- KKL’s Influence on Me

Explore KKL theorem, hypercontractivity, graph properties, isoperimetric inequalities, and intersecting families in this mathematical journey through influential concepts and applications.

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

Hausdorff Center for Mathematics

Inverse Results for Isoperimetric Inequalities - Lecture 4

Explore inverse isoperimetric problems in graphs, focusing on the Fourier-Entropy-Influence conjecture and related inequalities. Progress and applications in PAC learning discussed.

• YouTube
• 1 hour 19 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Inverse Results for Isoperimetric Inequalities - Lecture 3

Explore inverse isoperimetric problems in graphs, focusing on the Fourier-Entropy-Influence conjecture and related inequalities. Progress and applications discussed.

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

Hausdorff Center for Mathematics

Inverse Results for Isoperimetric Inequalities - Part II

Explores inverse isoperimetric problems in graphs, focusing on the Fourier-Entropy-Influence conjecture and related inequalities, with applications to PAC learning and other areas.

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