High Dimensional Geometry Courses and Certifications

Hausdorff Center for Mathematics

High Dimensional Measures - Geometric and Probabilistic Aspects

Explore advanced geometric and probabilistic aspects of high-dimensional measures through expert lectures on functional inequalities, convex geometry, and random matrices.

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

Wolfram

Examining Hyperspheres with Mathematica

Explore hyperspheres using Mathematica, delving into spherical coordinates, dimensionality challenges, and recursive techniques with Alistair Forsyth.

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

Dr Trefor Bazett

The 5th Dimension Has the Biggest Balls - High Dimensional Geometry and Volume Formulas

Explore why 5-dimensional spheres have maximum volume compared to other dimensions through mathematical derivations and geometric intuition.

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

Hausdorff Center for Mathematics

Winter School on the Interplay between High-Dimensional Geometry and Probability

Explore advanced mathematical concepts connecting high-dimensional geometry with probability theory through expert lectures on stochastic geometry, isoperimetry, and functional inequalities.

• YouTube
• 11 hours 27 minutes
• On-Demand
• Free Video

Math TAU

גופים קמורים במימדים גבוהים

חקור גופים קמורים במימדים גבוהים עם שירי ארטשטיין. גלה תובנות מתקדמות בגיאומטריה ואנליזה פונקציונלית בהרצאה מרתקת זו מאוניברסיטת תל אביב.

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

Hausdorff Center for Mathematics

High-Dimensional Phenomena

Delve into hochdimensionale Phänomene mit einem faszinierenden mathematischen Vortrag von Galyna V. Livshyts im Rahmen der Boolean Analysis in der Informatik.

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

Applied Algebraic Topology Network

High-Dimensional Data, Level-Set Geometry, and Voronoi Analysis of Point Sets

Explore spatial point sets, high-dimensional data analysis, and Voronoi cell topology to understand complex physical systems and classify data structures in innovative ways.

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

Hausdorff Center for Mathematics

Persi Diaconis: Haar-Distributed Random Matrices - In Memory of Elizabeth Meckes

Explore Haar measure on compact groups, high-dimensional geometry, and quantum chaos through the lens of Elizabeth Meckes' groundbreaking work and recent developments in the field.

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

Institute for Advanced Study

The Ramsey Numbers - New Results and New Perspectives

Explore fundamental Ramsey numbers in combinatorics, recent advancements, and connections to high-dimensional random variable geometry with Julian Sahasrabudhe.

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

Hausdorff Center for Mathematics

Facets of High Dimensional Random Polytopes

Explore asymptotic behavior of high-dimensional random polytopes, analyzing facets and their geometric properties as dimensions and data points increase, revealing insights into spherical approximations and tessellations.

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

Institute for Pure & Applied Mathematics (IPAM)

Size of Line Intersections in High Dimensional L_p-Balls and Product Measures

Explore high-dimensional geometry with Bo'az Klartag as he discusses line intersections in L_p-balls and product measures, examining the isodiametric inequality and its implications.

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

Institut Henri Poincaré

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

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

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

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

Institut Henri Poincaré

Isoperimetric Inequalities in High Dimensional Convex Sets - Lecture 4 Part 2

Explore isoperimetric inequalities in high-dimensional convex sets, focusing on Bourgain's slicing problem and the KLS conjecture. Gain insights from expert Bo'az Klartag.

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

Institut Henri Poincaré

Isoperimetric Inequalities in High Dimensional Convex Sets - Lecture 3, 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
• 55 minutes
• On-Demand
• Free Video