Geometric Measure Theory Courses and Certifications

ICTP Mathematics

Regularity Theory for Area-Minimizing Currents - Lecture 5

Explore advanced concepts in geometric measure theory, focusing on regularity theory for area-minimizing currents. Gain insights from experts De Lellis and Spadaro in this in-depth lecture.

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

ICTP Mathematics

Existence and Regularity Theories of Brakke Flow - Lecture 4

Explore advanced theories of Brakke flow, focusing on existence and regularity aspects in this in-depth lecture by Yoshihiro Tonegawa from Tokyo Institute of Technology.

• YouTube
• 1 hour 20 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Steve Hofmann - Quantitative Rectiability, and Harmonic and Caloric Measure III

Explore advanced mathematical concepts in quantitative rectifiability and measure theory, focusing on harmonic and caloric measures in complex analytical settings.

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

Hausdorff Center for Mathematics

Gaussian Isoperimetry and Related Topics III

Explore Gaussian isoperimetry's applications in probability and analysis, including concentration inequalities, noise stability, and Sobolev-type inequalities. Learn proof methods from geometric measure theory.

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

Hausdorff Center for Mathematics

Gaussian Isoperimetry and Related Topics II

Explore Gaussian isoperimetry's applications in probability and analysis, including concentration inequalities, noise stability, and Sobolev-type inequalities. Learn proof methods from geometric measure theory.

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

Hausdorff Center for Mathematics

Gaussian Isoperimetry and Related Topics I

Explore Gaussian isoperimetry's applications in probability and analysis, including concentration inequalities, noise stability, and Sobolev-type inequalities. Learn proof techniques using geometric measure theory.

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

ICTP Mathematics

Regularity Theory for Area-Minimizing Currents

Explore advanced concepts in geometric measure theory, including zero forms, currents, and rectifiability theorems, with applications to area-minimizing problems in mathematics.

• YouTube
• 1 hour 40 minutes
• On-Demand
• Free Video

ICTP Mathematics

Existence and Regularity Theories of Brakke Flow

Explore existence and regularity theories of Brakke flow, covering initial configuration, linear and alpha regularity, dispersed irregularity, and the Monotonicity Formula for minimal surfaces.

• YouTube
• 1 hour 15 minutes
• On-Demand
• Free Video

BIMSA

Hausdorff Dimension of Three-Dimensional Kakeya Sets

Explore groundbreaking research on Kakeya sets in R^3, uncovering a new lower bound for Hausdorff dimension and its implications in geometric measure theory.

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

BIMSA

Hausdorff Dimension of Three-Dimensional Kakeya Sets

Explore groundbreaking research on Kakeya sets in R^3, uncovering a new lower bound for Hausdorff dimension and its implications in geometric measure theory.

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

BIMSA

The David-Semmes Problem, Rectifiability, and Harmonic Measure - ICBS 2024

Explore the David-Semmes problem, its solution in codimension one, and its impact on harmonic measure problems. Gain insights into Riesz transforms and n-rectifiability.

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

BIMSA

Exponential Decay of Intersection Volume and Applications

Explore exponential decay of intersection volume and its applications in extremal and probabilistic combinatorics with distinguished researcher Hong Liu.

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

Hausdorff Center for Mathematics

Geometric Functionals of Polyconvex Excursion Sets of Poisson Shot Noise Processes

Explore geometric functionals of polyconvex excursion sets in Poisson shot noise processes, including asymptotics, variance bounds, and central limit theorems for intrinsic volumes.

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

Institut des Hautes Etudes Scientifiques (IHES)

Currents on Metric Spaces and Intrinsic Flat Convergence

Explore Ambrosio-Kirchheim's Theory of Currents on Metric Spaces and delve into integral current spaces and intrinsic flat convergence, providing essential background for Antoine Song's talk.

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

Fields Institute

Boundary Regularity of Minimal Surfaces

Explore boundary regularity of minimal surfaces with Camillo De Lellis. Gain insights into advanced mathematical concepts and their applications in geometric analysis.

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