Group Theory Courses and Certifications

Institut des Hautes Etudes Scientifiques (IHES)

Dominated Representations, Intersections and Large Deviations

Explore hyperbolic metrics, dominated representations, and counting measures in groups, examining their connections to mean distortions and growth rates.

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

Institut des Hautes Etudes Scientifiques (IHES)

Transverse Groups: Metric and Flow Space Analysis

Explore transverse groups, their metric and flow spaces, and new results in this advanced mathematical talk on discrete group theory and hyperbolic geometry.

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

Institute for Advanced Study

Subgroup Tests and the Aldous-Lyons Conjecture

Explore the refutation of the Aldous-Lyons conjecture through novel interactive proof systems and subgroup tests, connecting complexity theory to probability theory and group theory.

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

Institute for Advanced Study

Subgroup Tests and the Aldous-Lyons Conjecture

Explore the refutation of the Aldous-Lyons conjecture through novel interactive proof systems and subgroup tests, connecting complexity theory to probability theory and group theory.

• YouTube
• 1 hour 14 minutes
• On-Demand
• Free Video

Fields Institute

Geometry, Arithmetic, and Dynamics of Discrete Groups - Lecture 13

Delve into advanced mathematical concepts exploring discrete groups, focusing on their geometric properties, arithmetic relationships, and dynamic behaviors in mathematical theory.

• YouTube
• 1 hour 44 minutes
• On-Demand
• Free Video

Centre International de Rencontres Mathématiques

Finite-Dimensional Pseudofinite Groups of Small Dimension Without CFSG

Delve into advanced mathematical concepts of finite-dimensional pseudofinite groups, exploring theoretical frameworks without using the Classification of Finite Simple Groups (CFSG).

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

Centre International de Rencontres Mathématiques

A Borovik-Cherlin Bound for Primitive Pseudo-finite Permutation Groups

Delve into advanced mathematical theory exploring primitive pseudo-finite permutation groups and the Borovik-Cherlin bound through rigorous analysis and comprehensive proofs.

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

Fields Institute

Geometry, Arithmetic, and Dynamics of Discrete Groups - Lecture 12

Delve into advanced mathematical concepts exploring discrete groups, focusing on their geometric properties, arithmetic relationships, and dynamic behaviors in mathematical theory.

• YouTube
• 1 hour 39 minutes
• On-Demand
• Free Video

Fields Institute

Geometry, Arithmetic, and Dynamics of Discrete Groups - Lecture 11

Explore fundamental concepts in discrete group theory, focusing on geometric principles, arithmetic relationships, and dynamic behaviors in mathematical structures.

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

Hausdorff Center for Mathematics

Improved Covering Results and Intersection Theorems in Symmetric Groups via Hypercontractivity

Delve into advanced mathematical concepts exploring covering results and intersection theorems in symmetric groups, featuring hypercontractivity and independent sets in Cayley graphs.

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

Group Theory

Master fundamental concepts of abstract algebra through binary operations, group structures, theorems, and practical problem-solving in permutations, homomorphisms, and finite abelian groups.

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

Fields Institute

Geometry, Arithmetic, and Dynamics of Discrete Groups - Lecture 16

Delve into advanced mathematical concepts exploring discrete groups, focusing on their geometric properties, arithmetic relationships, and dynamic behaviors in mathematical theory.

• YouTube
• 1 hour 39 minutes
• On-Demand
• Free Video

Fields Institute

Geometry, Arithmetic, and Dynamics of Discrete Groups - Lecture 1

Dive into the fundamental concepts of discrete groups, exploring their geometric, arithmetic, and dynamic properties through expert mathematical instruction.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Video

Fields Institute

Geometry, Arithmetic, and Dynamics of Discrete Groups - Lecture 15

Delve into advanced mathematical concepts exploring discrete groups, focusing on their geometric properties, arithmetic relationships, and dynamic behaviors in mathematical theory.

• YouTube
• 1 hour 41 minutes
• On-Demand
• Free Video

Fields Institute

Geometry, Arithmetic, and Dynamics of Discrete Groups - Lecture 17

Delve into advanced mathematical concepts exploring discrete groups, focusing on their geometric properties, arithmetic relationships, and dynamic behaviors in mathematical theory.

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