Geodesics Courses and Certifications

Instituto de Matemática Pura e Aplicada

Closed Geodesics and the First Betti Number

Explore the relationship between closed geodesics and the first Betti number in this advanced mathematics lecture from a leading expert in symplectic geometry and conservative dynamics.

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

Instituto de Matemática Pura e Aplicada

Localization of Closed Magnetic Geodesics for Low Energy

Explore localization of closed magnetic geodesics for low energy in this advanced mathematics workshop on conservative dynamics and symplectic geometry.

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

Institute for Advanced Study

Train Track Automata for Outer Automorphisms of Free Groups and Geodesics in Outer Space

Delve into advanced group theory concepts exploring train track automata, outer automorphisms of free groups, and geodesics in outer space through rigorous mathematical analysis and theoretical frameworks.

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

Institute for Advanced Study

Lengths of Closed Geodesics in Manifolds of Positive Scalar Curvature

Explore Gromov's conjecture proof on short closed geodesics in 3-manifolds with positive scalar curvature using Min-Max theory and minimal surfaces techniques.

• YouTube
• 59 minutes
• 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

Riemannian Geometry

Dive into rigorous differential geometry covering Riemannian metrics, Levi-Civita connections, curvature, geodesics, and advanced comparison theorems for graduate-level study.

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

ICTP Mathematics

Differential Geometry

Master differential geometry through comprehensive lectures covering manifolds, curvature, and geometric structures in this ICTP diploma program by Claudio Arezzo.

• YouTube
• 1 day 2 hours 13 minutes
• On-Demand
• Free Video

Instituto de Matemática Pura e Aplicada

Systolic and Diastolic Geometry - Minimal Area of Finsler Disks with Minimizing Geodesics

Delve into the mathematical exploration of minimal area in Finsler disks with minimizing geodesics, presented by Stéphane Sabourau as part of the Systolic and Diastolic Geometry event at IMPA.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Workshop on Quantum Geometry

Explore advanced quantum geometry through expert lectures on Gromov-Witten theory, Donaldson-Thomas invariants, integrable systems, and spectral curve quantization from leading researchers.

• YouTube
• 14 hours 45 minutes
• On-Demand
• Free Video

Institute for Advanced Study

Mathematical Physics Seminar - Log-Sobolev Inequality, Maass Spectra, Grassmann Integrals, and Advanced Topics

Explore advanced mathematical physics topics including Ising models, Maass spectra, Grassmann integrals, flat surfaces, Gibbs measures, and conformal field theory.

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

International Centre for Theoretical Sciences

Introduction to General Relativity

Dive into Einstein's theory of spacetime, gravity, and the universe through comprehensive lectures by renowned physicist Ashoke Sen from ICTS.

• YouTube
• 2 days 17 hours 50 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

First-Passage Percolation and Related Models 2022

Explore advanced mathematical concepts in first-passage percolation through expert lectures covering geodesics, fluctuations, solvable models, and limiting behaviors.

• YouTube
• 1 day 9 hours 48 minutes
• On-Demand
• Free Video

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