Convex Geometry Courses and Certifications

Hausdorff Center for Mathematics

MM-Estimates, Regular M-Ellipsoids and Distances Between Convex Bodies

Explores convex bodies in n-dimensional space, focusing on mean width, MM* estimates, and their relation to covering efficiency and distances between convex bodies. Discusses symmetric vs non-symmetric cases.

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

Institute for Advanced Study

Around the Alexandrov-Fenchel Inequality

Delve into the fascinating world of convex geometry, exploring Minkowski's groundbreaking theory and recent advances in understanding geometric inequalities and their connections to various mathematical branches.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video

Simons Institute

Nash Social Welfare and A Tale of Mathematical Programs

Explore determinant maximization, its applications in machine learning and game theory, and techniques like matroid intersection methods for solving this abstract problem.

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

Hausdorff Center for Mathematics

Local Uniqueness Results for Centroid Bodies

Explore local uniqueness of centroid bodies through hyperplane conditions, examining volume, area, inertia, and distance properties to determine if specific combinations imply a Euclidean ball shape.

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

Hausdorff Center for Mathematics

The Aleksandrov Projection Theorem for Convex Lattice Polygons

Explore the discrete analogue of Aleksandrov's projection theorem for convex lattice polygons, examining counterexamples and their implications in Z^2.

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

Institute for Advanced Study

Stability of Geometric Inequalities: Continuous and Discrete Perspectives

Explore geometric inequalities from continuous and discrete perspectives, focusing on stability in various mathematical contexts.

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

Institute for Advanced Study

Linear Stability of the Brunn-Minkowski Inequality

Delve into advanced mathematical concepts exploring the linear stability of Brunn-Minkowski inequality, examining volume control in convex geometry and its connections to additive combinatorics.

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

Hausdorff Center for Mathematics

Pierre Calka- Close-Up on Random Convex Hulls

Explore random convex hulls, Hausdorff distance, and asymptotic expansions in this mathematical talk on geometric probability and stochastic geometry.

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

Hausdorff Center for Mathematics

Lefschetz Operators on Minkowski Valuations

Explore Lefschetz operators' action on continuous Minkowski valuations compatible with rigid motions, including difference body, projection body, and mean section body maps.

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

Hausdorff Center for Mathematics

Entropy, Isotropic Constant and Mahler's Conjecture

Explores connections between entropy, isotropic constant, and Mahler's conjecture in convex geometry. Discusses functional forms of Klartag's work and adaptations for log-concave functions.

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

Centre de recherches mathématiques - CRM

Almost All Roads Lead to Funk Geometry

Explore the fascinating Funk metric and its connections to convex geometry, examining its properties and relationships to key theorems, conjectures, and geometric principles.

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

Fields Institute

An Invitation to Lattice Polytopes

Explore the fundamental concepts and applications of lattice polytopes in mathematics through expert insights from Christian Haase of Freie Universität Berlin.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Video

Centre de recherches mathématiques - CRM

On Liakopoulos's Dual Bollobás-Thomason Inequality

Explore advanced geometric inequalities and volume bounds for convex bodies through projections and intersections with coordinate hyperplanes and subspaces.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

Institute for Advanced Study

Additive Structures in Subset Sums, Non-Averaging Sets and Convex Geometry

Explore additive structures in subset sums, non-averaging sets, and convex geometry with insights from postdoctoral research in advanced mathematics.

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

BIMSA

Hyperbolic Summation and Hyperbolic Convex Geometry

Explore hyperbolic summation and develop hyperbolic convex geometry, extending classical Euclidean concepts to hyperbolic space through innovative mathematical frameworks.

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