Isoperimetric Problem Courses and Certifications

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Isoperimetric Planar Tilings with Unequal Cells

Explore isoperimetric problems for planar tilings with unequal cells, covering existence, regularity results, and complete classification of double tilings with phase transitions.

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

Hausdorff Center for Mathematics

Isoperimetric Problem- From Classical to Reverse I

Explore the classical isoperimetric problem and its reverse, focusing on minimizing volume for convex bodies with bounded curvature. Learn about recent developments in R3.

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

Hausdorff Center for Mathematics

Isoperimetric Problem- From Classical to Reverse II

Explore the reverse isoperimetric problem for convex bodies with bounded curvature, focusing on volume minimization in R3 and its implications for geometric analysis.

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

Hausdorff Center for Mathematics

Isoperimetric Problem - From Classical to Reverse III

Explores the reverse isoperimetric problem for convex bodies with bounded curvature, focusing on volume minimization in R3 and its implications for geometric analysis.

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

Institute for Advanced Study

The Isoperimetric Problem in Cubes and Torii

Explore the isoperimetric problem in cubes and torii, delving into geometric principles and mathematical concepts with Federico Glaudo's insightful analysis.

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

Hausdorff Center for Mathematics

Vysotskiy - The Isoperimetric Problem for Convex Hulls and the Large Deviations Rate Functions

Explores large deviations principle for convex hull areas in planar random walks, analyzing optimal trajectories and solving the Euler-Lagrange equation for various rate functions.

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

Institute for Advanced Study

Asymptotic Dimension, Isoperimetric Problem, and Traveling Salesman Problem in Groups

Explore connections between asymptotic dimension, isoperimetric problems, and traveling salesman problems in group theory through advanced mathematical analysis.

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

Fertig Research Group: Multiscale Failure of Materials

Variational Methods and Energy Principles in Mechanics

Master variational calculus and energy principles in mechanics through functionals, Euler-Lagrange equations, and applications to elasticity problems.

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

Hausdorff Center for Mathematics

On Yuansi Chen's Work on the KLS Conjecture I

Explore the KLS conjecture in high-dimensional geometry, its implications for Bourgain's slicing problem, and recent progress using Eldan's Stochastic Localization technique.

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

ICTP Mathematics

Introduction to Optimal Transportation and Monge Ampère Type Equations - Lecture 2

Explore optimal transportation and Monge Ampère equations, covering key concepts like super differentials, isoperimetric problems, and probability measures in this advanced mathematics lecture.

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

International Centre for Theoretical Sciences

The Mathematics of Soap Bubbles

Explore the fascinating mathematical principles behind soap bubbles' perfect spherical shape and discover connections to physics, integrable systems, and ongoing research.

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

Hausdorff Center for Mathematics

On Yuansi Chen's Work on the KLS Conjecture II

Explores recent progress on the KLS conjecture in high-dimensional geometry, focusing on Yuansi Chen's work and Eldan's Stochastic Localization technique. Discusses implications for Bourgain's slicing problem.

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

Hausdorff Center for Mathematics

On Yuansi Chen's Work on the KLS Conjecture III

Explores recent progress on the KLS conjecture in high-dimensional geometry, focusing on Eldan's Stochastic Localization technique and its implications for the slicing problem.

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

Centre de recherches mathématiques - CRM

Patterns in Tri-Block Copolymers: Droplets, Double-Bubbles and Core-Shells - A New Partitioning Problem

Explore patterns in tri-block copolymers, including droplets, double-bubbles, and core-shells. Examine a novel partitioning problem in mathematical physics and materials science.

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

Centre de recherches mathématiques - CRM

Riesz Inequality for Polygons: Symmetry and Symmetry Breaking

Explore counterparts of Hardy-Littlewood and Riesz inequalities for polygons, examining symmetry and symmetry breaking in nonlocal isoperimetric problems.

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