Lie Groups Courses and Certifications

Fields Institute

Lie Groups and Quantization - Lecture 12

Delve into advanced mathematical concepts of Lie groups and their applications in quantization theory through rigorous theoretical exploration and practical examples.

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

Fields Institute

Lie Groups and Quantization - Lecture 2

Delve into advanced mathematical concepts of Lie groups and their applications in quantization through rigorous theoretical exploration and practical examples.

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

Fields Institute

Lie Groups and Quantization - Lecture 5

Delve into advanced mathematical concepts of Lie groups and their applications in quantization theory through rigorous exploration of fundamental principles and theoretical frameworks.

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

Fields Institute

Lie Groups and Quantization - Lecture 6

Delve into advanced mathematical concepts of Lie groups and their applications in quantization theory through rigorous exploration of fundamental principles and theoretical frameworks.

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

Fields Institute

Lie Groups and Quantization - Lecture 4

Delve into advanced mathematical concepts of Lie groups and their applications in quantization theory through rigorous exploration of fundamental principles and theoretical frameworks.

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

Fields Institute

Lie Groups and Quantization - Lecture 3

Delve into advanced mathematical concepts of Lie groups and their applications in quantization theory through rigorous exploration of fundamental principles and theoretical frameworks.

• YouTube
• 1 hour 16 minutes
• On-Demand
• Free Video

Fields Institute

Lie Groups and Quantization - Lecture 1

Delve into fundamental concepts of Lie groups and their applications in quantization through advanced mathematical exploration and theoretical frameworks in graduate-level mathematics.

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

Fields Institute

Lie Groups and Quantization - Lecture 16

Delve into advanced mathematical concepts exploring Lie groups and quantization theory, focusing on their interconnections and applications in theoretical physics and geometry.

• YouTube
• 1 hour 15 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

An Introduction to Geometry and Dynamics on Semisimple Lie Groups - Lecture 3

Explore semisimple Lie groups, their structure, discrete subgroups, and asymptotic behavior through advanced mathematical concepts and theorems.

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

NPTEL;  IISc Bangalore

An Introduction to Smooth Manifolds

The course will start with a brief outline of the prerequisites from topology and multi-variable calculus. After that a large class of examples, including Lie groups, will be presented. The course will culminate with proof of Stokes' theorem on manifolds.

• YouTube
• 1 day 11 hours
• On-Demand
• Free Video

Friedrich–Alexander University Erlangen–Nürnberg

Geometrical Anatomy of Theoretical Physics

Comprehensive exploration of advanced mathematical concepts in theoretical physics, from set theory to Lie groups, manifolds, and fiber bundles, with applications in quantum mechanics and symmetries.

• YouTube
• 1 day 23 hours
• On-Demand
• Free Video

Insights into Mathematics

Simple Groups, Lie Groups, and the Search for Symmetry I - Math History - NJ Wildberger

Explore the history of group theory, from simple groups to Lie groups, and their role in describing symmetry in geometry. Discover remarkable mathematical objects and the classification of finite simple groups.

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

IMSA

Symmetric Approach to General Relativity - Applications to Exotic Spheres

Exploring Cheeger deformation to derive Lorentzian metrics on spheres and exotic spheres, with implications for physics and geometry in compact models of spacetime.

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

Fields Institute

Graduate Course on the Tangent Groupoid in Noncommutative Geometry - Lecture 1

Explore advanced concepts in noncommutative geometry, focusing on the tangent groupoid and its applications in graduate-level mathematics.

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

ICTP Mathematics

Introduction to Geometric Control Theory - Lecture 4

Explore geometric control theory's advanced concepts, focusing on mathematical foundations and practical applications in dynamic systems and optimization.

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