Lie Groups Courses and Certifications

Institut des Hautes Etudes Scientifiques (IHES)

Discrete Subgroups of Lie Groups - Dynamics, Actions, Rigidity

Explore advanced mathematical concepts in discrete subgroups of Lie groups through expert-led mini-courses covering dynamics, rigidity theory, and geometric applications.

• YouTube
• 1 day 15 hours
• On-Demand
• Free Video

Lie Groups - The Exceptional Lie Group G2

Explore the smallest exceptional Lie Group G2 and its surprising connections to number fields, geometry, and physics through advanced mathematical theory.

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

Lie Groups - Introduction to Lie Groups

Discover Lie Groups through examples in this Oxford undergraduate lecture, exploring their applications in analysis, geometry, and physics from foundational concepts.

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

Fields Institute

Lattices in Semisimple Lie Groups: The Congruence Subgroup Problem and Boundedness Properties

Explore lattices in semisimple Lie groups, focusing on the congruence subgroup problem and boundedness properties in this advanced mathematics seminar by Alex Lubotzky.

• YouTube
• 1 hour 20 minutes
• On-Demand
• Free Video

International Mathematical Union

Analysis with Simple Lie Groups and Lattices

Explore advanced mathematical concepts focusing on simple Lie groups and lattices, delving into their analytical properties and applications in modern algebra and geometry.

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

ICTP Mathematics

Singular Chains on Lie Groups and the Cartan Relations

Explore the connection between Lie group representations and infinitesimal descriptions using Cartan relations, with applications to Chern-Weil theory and higher local systems on classifying spaces.

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

Stony Brook Mathematics

Uniform Volume Doubling and Functional Inequalities on Lie Groups

Explore functional inequalities on Lie groups, focusing on uniform volume doubling and its implications for SU(2) and related structures. Gain insights into heat kernel estimates and measure contracting properties.

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

Applied Algebraic Topology Network

Detection of Representation Orbits of Compact Lie Groups from Point Clouds

Discover an orbit-regression algorithm for detecting Lie group representations from point clouds, with applications in image processing, neural networks, and physical systems analysis.

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

Fields Institute

Lie Groups and Quantization - Lecture 14

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

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

Fields Institute

Lie Groups and Quantization - Lecture 9

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

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

Fields Institute

Lie Groups and Quantization - Lecture 8

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

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

Fields Institute

Lie Groups and Quantization - Lecture 13

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 11

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

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

Fields Institute

Lie Groups and Quantization - Lecture 7

Delve into advanced mathematical concepts exploring Lie groups and quantization theory, focusing on their fundamental principles and applications in graduate-level mathematics.

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

Fields Institute

Lie Groups and Quantization - Lecture 10

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

• YouTube
• 1 hour 13 minutes
• On-Demand
• Free Video