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#Isoperimetric Problem

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Hausdorff Center for Mathematics

On Yuansi Chen's Work on the KLS Conjecture III

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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.
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8 Lesons
47 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

On Yuansi Chen's Work on the KLS Conjecture I

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Explore the KLS conjecture in high-dimensional geometry, its implications for Bourgain's slicing problem, and recent progress using Eldan's Stochastic Localization technique.
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10 Lesons
46 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

On Yuansi Chen's Work on the KLS Conjecture II

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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.
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1 Lesons
46 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Isoperimetric Problem- From Classical to Reverse I

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Explore the classical isoperimetric problem and its reverse, focusing on minimizing volume for convex bodies with bounded curvature. Learn about recent developments in R3.
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1 Lesons
53 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Isoperimetric Problem- From Classical to Reverse II

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Explore the reverse isoperimetric problem for convex bodies with bounded curvature, focusing on volume minimization in R3 and its implications for geometric analysis.
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1 Lesons
50 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Isoperimetric Problem - From Classical to Reverse III

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Explores the reverse isoperimetric problem for convex bodies with bounded curvature, focusing on volume minimization in R3 and its implications for geometric analysis.
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1 Lesons
51 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

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

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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.
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1 Lesons
28 minutes
On-Demand
Free-Video
Institute for Advanced Study

The Isoperimetric Problem in Cubes and Torii

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Explore the isoperimetric problem in cubes and torii, delving into geometric principles and mathematical concepts with Federico Glaudo's insightful analysis.
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1 Lesons
23 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Riesz Inequality for Polygons: Symmetry and Symmetry Breaking

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Explore counterparts of Hardy-Littlewood and Riesz inequalities for polygons, examining symmetry and symmetry breaking in nonlocal isoperimetric problems.
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1 Lesons
1 hour 12 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Eigenvalues and Minimal Surfaces

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Explore Laplace operator eigenvalues, their physical significance, and connection to minimal surfaces. Discover recent findings in isoperimetric eigenvalue problems for Riemannian surfaces.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
ICTP Mathematics

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

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Explore optimal transportation and Monge Ampère equations, covering key concepts like super differentials, isoperimetric problems, and probability measures in this advanced mathematics lecture.
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15 Lesons
1 hour 58 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

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Explore patterns in tri-block copolymers, including droplets, double-bubbles, and core-shells. Examine a novel partitioning problem in mathematical physics and materials science.
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1 Lesons
53 minutes
On-Demand
Free-Video