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

Hausdorff Center for Mathematics

The Quantitative Geometry of Geodesics

Explore advanced geometric principles and theorems concerning geodesics, focusing on quantitative approaches to prove the existence and length bounds of these mathematical objects.

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

Hausdorff Center for Mathematics

P-adic Height Pairings of Geodesics on Modular Curves

Explore p-adic height pairings of real quadratic geodesics on modular curves, their relation to real quadratic singular moduli, and insights from triple product period interpretation.

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

Fields Institute

Riemannian Manifolds, Isometries, and Geodesics - Lecture 3

Explore Riemannian manifolds, isometries, and geodesics, with a focus on the upper half-plane and hyperbolic metric in this advanced geometry lecture.

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

Centrum Fizyki Teoretycznej PAN

Levi-Civita Connection, Christoffel Symbols, and Geodesics - Lecture 7

Explore advanced concepts in differential geometry, including Levi-Civita connections, Christoffel symbols, and geodesics. Delve into covariant derivatives, parallel transport, and variational principles in this graduate-level lecture.

• YouTube
• 1 hour 43 minutes
• On-Demand
• Free Video

NPTEL-NOC IITM

Lightlike Geodesics in Schwarzschild Geometry

Explore lightlike geodesics in Schwarzschild geometry and understand how massless particles move through curved spacetime around black holes.

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

NPTEL-NOC IITM

Timelike Geodesics in Schwarzschild Geometry

Explore timelike geodesics in Schwarzschild geometry and understand particle motion in curved spacetime around massive objects.

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

Conference GSI

The Phase Space Description of the Geodesics on the Statistical Model on a Finite Set - Trajectory

Explore geodesics on statistical models using phase space descriptions, focusing on finite sets and trajectories in information geometry.

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

Conference GSI

Conformal Submersion with Horizontal Distribution and Geodesics

Explore conformal submersion, horizontal distribution, and geodesics in differential geometry, enhancing understanding of these advanced mathematical concepts.

• YouTube
• 21 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

ScienceClic

The Maths of General Relativity

1 review

Discover the mathematical foundations of Einstein's general relativity through visual explanations covering spacetime, geodesics, curvature, and the Einstein equation.

• YouTube
• 1 hour 19 minutes
• On-Demand
• Free Video

Applied Algebraic Topology Network

Wasserstein Distances, Geodesics and Barycenters of Merge Trees

Explore computational frameworks for merge trees, including Wasserstein distances, geodesics, and barycenters. Learn efficient algorithms and applications in visualization, feature tracking, and ensemble clustering.

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

ICTP Mathematics

Closed Geodesics on Surfaces without Conjugate Points

Explore asymptotic estimates for closed geodesics on surfaces without conjugate points, covering compact surfaces of genus ≥2. Delve into counting methods, uniform hyperbolicity, and proof techniques.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Gluing Black Holes Along Timelike Geodesics

Explore the construction of metrics describing Kerr black holes traveling along timelike geodesics in smooth globally hyperbolic spacetimes, with applications to extreme mass ratio mergers.

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

University of Chicago Department of Mathematics

Counting Closed Geodesics and Improving Weyl's Law for Predominant Sets of Metrics

Dive into the behavior of closed geodesics and Weyl's law on compact manifolds. Explore predominance in Riemannian metrics and its implications for quantitative bounds in geometry.

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