Harmonic Maps Courses and Certifications

International Centre for Theoretical Sciences

Harmonic Maps Between Surfaces and Teichmüller Theory - Lecture 1

Explore harmonic maps between surfaces, their applications, and connections to Teichmüller theory in this advanced lecture on geometric analysis and complex geometry.

• YouTube
• 1 hour 18 minutes
• On-Demand
• Free Video

Fields Institute

Harmonic Maps and Rigidity

Explore harmonic maps, rigidity theorems, and their applications in geometry. Delve into existence theory, Mostow's strong rigidity, and approaches to rigidity using harmonic maps and the Bochner method.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Harmonic Maps and Random Walks on Countable Groups

Explora la relación entre mapas armónicos y caminatas aleatorias en grupos contables, examinando acciones grupales en espacios CAT(0) y la existencia de subespacios planos invariantes.

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

Stony Brook Mathematics

Mapping Riemannian Manifolds in Metric Spaces

Explore Riemannian manifolds and special mappings, gaining insights into geometry, systolic geometry, inverse problems, and dynamical systems. Learn about applications in stability and canonical shapes for manifolds.

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

Stony Brook Mathematics

Geometric Variational Problems: Regularity vs Singularity Formation

Explore techniques for existence, regularity, and singularity formation in geometric problems, focusing on harmonic maps, Yang-Mills connections, and nematic liquid crystals. Discover new gluing methods for parabolic flows.

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

Institut des Hautes Etudes Scientifiques (IHES)

Continuous Time Bubbling for the Harmonic Map Heat Flow in Two Dimensions

Explores continuous time bubbling in harmonic map heat flow, focusing on finite energy maps from plane to two-sphere. Discusses minimal collision energy and soliton resolution in critical wave maps.

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

Instituto de Matemática Pura e Aplicada

Special Holonomy and Geometric Structures on Complex Manifolds

Explora relações entre geometria diferencial, complexa e algébrica, análise global e física teórica. Foca em estruturas geométricas especiais, equações de Monge-Ampère, holonomia especial e teoria de calibre.

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

Instituto de Matemática Pura e Aplicada

Special Holonomy and Geometric Structures on Complex Manifolds

Explora relações entre geometria diferencial, complexa e algébrica, análise global e física teórica, focando em estruturas geométricas especiais em variedades complexas e suas aplicações.

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

Centre International de Rencontres Mathématiques

Variational Theory for Harmonic Maps and Applications - Lecture 1

Présentation de la théorie variationnelle pour les applications harmoniques et ses applications, avec un accent sur les avancées récentes en analyse géométrique.

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

Centre International de Rencontres Mathématiques

Variational Theory for Harmonic Maps and Applications - Lecture 2

Présentation approfondie de la théorie variationnelle pour les applications harmoniques, avec un accent sur ses applications en analyse géométrique et ses développements récents.

• YouTube
• 1 hour 25 minutes
• On-Demand
• Free Video