Riemannian Geometry Courses and Certifications

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

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

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

Institute for Advanced Study

Relationships Between Nilpotency and Curvature in Riemannian Geometry

Explore the fascinating connection between nilpotency and Riemannian geometry, from Gromov's almost flat theorem to Fukaya-Yamaguchi's work, with concrete examples and minimal prerequisites.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Kato Meets Bakry-Émery: Curvature Conditions in Riemannian Geometry

Explore the relationship between Bakry-Émery curvature-dimension and Kato condition on Ricci curvature, uncovering insights on Kato limit spaces and Riemannian manifolds.

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

Fields Institute

Topics in Geometry and Topology: A Second Course in Riemannian Geometry - Lecture 20

Delve into advanced concepts of Riemannian geometry, exploring sophisticated mathematical principles and topological structures through expert-led mathematical discourse and theoretical frameworks.

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

Fields Institute

Topics in Geometry and Topology: A Second Course in Riemannian Geometry - Lecture 22

Delve into advanced concepts of Riemannian geometry, exploring complex geometric structures and topological principles through expert-led mathematical discussions and theoretical frameworks.

• YouTube
• 1 hour 23 minutes
• On-Demand
• Free Video

Fields Institute

Topics in Geometry and Topology: A Second Course in Riemannian Geometry - Lecture 21

Delve into advanced concepts of Riemannian geometry, exploring complex geometric structures and topological principles through expert-led mathematical discussions and theoretical frameworks.

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

Fields Institute

Topics in Geometry and Topology: A Second Course in Riemannian Geometry - Lecture 23

Delve into advanced concepts of Riemannian geometry, exploring complex geometric and topological structures through expert-led mathematical discussions and theoretical frameworks.

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

Fields Institute

Topics in Geometry and Topology: A Second Course in Riemannian Geometry - Lecture 24

Delve into advanced concepts of Riemannian geometry, exploring complex geometric and topological structures through expert-led mathematical discussions and theoretical frameworks.

• YouTube
• 1 hour 9 minutes
• On-Demand
• Free Video

Fields Institute

Topics in Geometry and Topology: A Second Course in Riemannian Geometry - Lecture 19

Delve into advanced concepts of Riemannian geometry, exploring complex geometric structures and topological principles through expert-led mathematical discussions and theoretical frameworks.

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

Fields Institute

Topics in Geometry and Topology: A Second Course in Riemannian Geometry - Lecture 18

Delve into advanced concepts of Riemannian geometry, exploring complex geometric and topological structures through rigorous mathematical analysis and theoretical frameworks.

• YouTube
• 1 hour 23 minutes
• On-Demand
• Free Video

Fields Institute

Topics in Geometry and Topology: A Second Course in Riemannian Geometry - Lecture 9

Delve into advanced concepts of Riemannian geometry, exploring complex geometric structures and topological principles through expert-led mathematical discussions and theoretical frameworks.

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

Fields Institute

Topics in Geometry and Topology: A Second Course in Riemannian Geometry - Lecture 15

Delve into advanced concepts of Riemannian geometry, exploring sophisticated mathematical principles and topological structures through expert-led instruction from the Fields Institute.

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

Fields Institute

Topics in Geometry and Topology: A Second Course in Riemannian Geometry - Lecture 13

Delve into advanced concepts of Riemannian geometry, exploring complex geometric structures and topological principles through expert-led mathematical discussions and theoretical frameworks.

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