Differential Geometry Courses and Certifications

ICTP Mathematics

Finding Solitons in Differential Geometry

Explore solitons in differential geometry, their role in discovering distinguished geometric structures, and applications in various mathematical contexts including Lie groups and algebras.

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

NPTEL-NOC IITM

Mathematical Preliminaries - Basics of Differential Geometry - 1

Discover the foundational concepts of differentiable manifolds, charts, atlases, transition functions, and smooth maps in this comprehensive introduction to differential geometry.

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

NPTEL-NOC IITM

Mathematical Preliminaries - Basics of Differential Geometry 2

Explore differentiable manifolds, charts, atlases, transition functions, and smooth maps in this foundational differential geometry lecture.

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

Harvard CMSA

Approaches to the Formalization of Differential Geometry

Explore cutting-edge approaches to formalizing differential geometry through computer systems, examining key challenges and innovative solutions in mathematical abstraction and automation.

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

Fields Institute

Differential Geometry over C∞-Rings

Explore advanced concepts in differential geometry using C∞-rings, delving into theoretical foundations and applications in mathematical physics and algebraic geometry.

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

Banach Center

Holonomy as a Key Concept of Differential Geometry

Discover how holonomy generalizes triangle angle sums into a powerful differential geometry concept, exploring Berger's theorem, curvature relationships, and connections to physics.

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

Fields Institute

Infinite-Dimensional Analysis and Differential Geometry - Lecture 20

Delve into advanced concepts of infinite-dimensional analysis and differential geometry with Andrew Lewis from Queen's University in this comprehensive lecture.

• YouTube
• 1 hour 28 minutes
• On-Demand
• Free Video

Fields Institute

Infinite-Dimensional Analysis and Differential Geometry - Lecture 22

Delve into advanced concepts of infinite-dimensional analysis and differential geometry with Andrew Lewis from Queen's University in this comprehensive lecture.

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

Fields Institute

Infinite-Dimensional Analysis and Differential Geometry - Lecture 23

Delve into advanced concepts of infinite-dimensional analysis and differential geometry with Andrew Lewis from Queen's University in this comprehensive lecture.

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

Fields Institute

Infinite-Dimensional Analysis and Differential Geometry - Lecture 21

Delve into advanced concepts of infinite-dimensional analysis and differential geometry with Andrew Lewis from Queen's University in this graduate-level lecture.

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

Fields Institute

Infinite-Dimensional Analysis and Differential Geometry - Lecture 24

Delve into advanced concepts of infinite-dimensional analysis and differential geometry with Andrew Lewis from Queen's University in this comprehensive lecture.

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

Fields Institute

Infinite-Dimensional Analysis and Differential Geometry - Lecture 16

Delve into advanced concepts of infinite-dimensional analysis and differential geometry with Andrew Lewis from Queen's University in this comprehensive lecture.

• YouTube
• 1 hour 28 minutes
• On-Demand
• Free Video

Fields Institute

Infinite-Dimensional Analysis and Differential Geometry - Lecture 09

Delve into advanced concepts of infinite-dimensional analysis and differential geometry with Andrew Lewis from Queen's University.

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

Fields Institute

Infinite-Dimensional Analysis and Differential Geometry - Lecture 8

Delve into advanced concepts of infinite-dimensional analysis and differential geometry with Andrew Lewis from Queen's University in this graduate-level lecture.

• YouTube
• 1 hour 24 minutes
• On-Demand
• Free Video

Fields Institute

Infinite-Dimensional Analysis and Differential Geometry - Lecture 07

Delve into advanced concepts of infinite-dimensional analysis and differential geometry with Andrew Lewis from Queen's University in this comprehensive lecture.

• YouTube
• 1 hour 28 minutes
• On-Demand
• Free Video