Geodesics Courses and Certifications

NCCR SwissMAP

Closed Geodesics and Intersection Numbers in Dynamics and Geometry

Explorez les techniques analytiques en dynamique et géométrie, en mettant l'accent sur les géodésiques fermées et les nombres d'intersection.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video

General Relativity

1 review

Course covers the basic principles of Einstein's general theory of relativity, differential geometry, experimental tests of general relativity, black holes, and cosmology.

• MIT OpenCourseWare
• 30 hours
• On-Demand
• Free Video

IIT Kanpur;  NPTEL

An Introduction to Hyperbolic Geometry

Explore hyperbolic geometry and its applications in group theory, covering models, isometries, Fuchsian groups, and hyperbolic surfaces, with insights into geometric group theory.

• Swayam
• 12 weeks
• On-Demand
• Free Online Course

Institute for Advanced Study

Geometry of 2-Dimensional Riemannian Disks and Spheres - Regina Rotman

Explore 2D Riemannian geometry, focusing on disks and spheres. Learn about geodesics, sweep-outs, and curve shortening through examples and problem-solving.

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

Applied Algebraic Topology Network

Curvature Bounds and the Length of the Shortest Closed Geodesic

Explore upper bounds for shortest periodic geodesics on Riemannian manifolds, examining curvature's impact on closed geodesic length in various geometric contexts.

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

International Centre for Theoretical Sciences

Hyperbolic Geometry, Fuchsian Groups and Moduli Spaces - Lecture 1

Introducción a la geometría hiperbólica: modelos, propiedades y trigonometría. Exploración de los modelos del semiplano superior, disco y hiperboloide, con énfasis en geodésicas, ángulos y curvatura constante.

• YouTube
• 1 hour 22 minutes
• On-Demand
• Free Video

ICTP Mathematics

Some Geometric Properties of Spacetime

Explore geometric properties of spacetime, including constraint equations, scalar curvature, cone angles, and the positive mass theorem. Gain insights into fundamental concepts in geometry and gravity.

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

Mathemaniac

Why All Maps Are Wrong - Theorema Egregium

Explore Theorema Egregium's geometric proof, revealing why no world map can preserve both area and angles. Understand curvature, spherical areas, and the Gauss map in this mathematical journey.

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

International Centre for Theoretical Sciences

Advanced General Relativity: A Centennial Tribute to Amal Kumar Raychaudhuri by Sunil Mukhi

Explore advanced topics in General Relativity, including black holes, spacetime geometry, and Raychaudhuri equations. Gain insights into current research and honor the legacy of physicist Amal Kumar Raychaudhuri.

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

International Centre for Theoretical Sciences

Crash Course in Riemannian Geometry by Harish Seshadri

Introductory lecture on Riemannian geometry, covering fundamental concepts and principles for graduate-level students in mathematics and theoretical physics.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video

Models of Consciousness Conferences

Gnomonic Projection from Objective Flat 3-Space to Subjective Hemi-3-Sphere

Explores a novel model of visual perception using gnomonic projection to map objective 3D space onto a curved subjective space, explaining phenomena like foreshortening and straight line perception.

• YouTube
• 23 minutes
• On-Demand
• Conference Talk

ICTP Mathematics

Differential Geometry - Lecture 19

Explore advanced concepts in differential geometry, focusing on complex mathematical theories and their applications in this comprehensive lecture by Claudio Arezzo.

• YouTube
• 1 hour 29 minutes
• On-Demand
• Free Video

ICTP Mathematics

Differential Geometry - Lecture 20

Explore advanced concepts in differential geometry, focusing on complex mathematical theories and their applications in modern geometry and physics.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video

ICTP Mathematics

Differential Geometry - Lecture 17

Explore advanced concepts in differential geometry, focusing on complex mathematical theories and their applications in this comprehensive lecture.

• YouTube
• 1 hour 17 minutes
• On-Demand
• Free Video

ICTP Mathematics

Differential Geometry - Lecture 15

Explore advanced concepts in differential geometry, focusing on complex mathematical theories and their applications in this comprehensive lecture by Claudio Arezzo.

• YouTube
• 1 hour 34 minutes
• On-Demand
• Free Video