Group Theory Courses and Certifications

Institute for Advanced Study

Progress Around the Boone-Higman Conjecture

Explore recent breakthroughs on the Boone-Higman conjecture, including new sufficient conditions and applications to hyperbolic groups and Aut(F_n), featuring twisted Brin-Thompson groups.

• YouTube
• 1 hour
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

The Relational Complexity of a Finite Permutation Group

Explores relational complexity in finite permutation groups, discussing its measurement, estimation methods, and recent progress towards proving a key conjecture using theoretical and computational approaches.

• YouTube
• 1 hour
• Self-Paced
• Free Video

International Mathematical Union

Kathryn Mann- Groups Acting at Infinity

Explore rigidity in group actions, lattices, and infinity, with applications to surface groups, boundaries, and Anosov flows. Gain insights into mathematical concepts and their interconnections.

• YouTube
• 43 minutes
• Self-Paced
• Free Video

IMSA

On the Nielsen Realization Problem and Cohomology of Mapping Class Groups of Non-orientable Surfaces

Exploración del problema de realización de Nielsen y cohomología de grupos de clases de mapeo en superficies no orientables, con aplicaciones en topología y teoría de grupos.

• YouTube
• 48 minutes
• Self-Paced
• Free Video

Centre International de Rencontres Mathématiques

Random Processes on Symmetric Spaces and Discrete Subgroups

Explore random processes on symmetric spaces and discrete subgroups with Mikolaj Fraczyk in this advanced mathematical conference talk.

• YouTube
• 1 hour 2 minutes
• Self-Paced
• Free Video

Fields Institute

Geometry, Arithmetic, and Dynamics of Discrete Groups - Lecture 6

Explore advanced concepts in discrete group theory, focusing on geometric, arithmetic, and dynamic aspects with Professor Nikolay Bogachev from the University of Toronto.

• YouTube
• 1 hour 48 minutes
• Self-Paced
• Free Video

Fields Institute

Geometry, Arithmetic, and Dynamics of Discrete Groups - Lecture 4

Explore advanced concepts in discrete group theory, focusing on geometric, arithmetic, and dynamic aspects with Professor Nikolay Bogachev from the University of Toronto.

• YouTube
• 1 hour 31 minutes
• Self-Paced
• Free Video

Fields Institute

Geometry, Arithmetic, and Dynamics of Discrete Groups - Lecture 21

Delve into advanced mathematical concepts exploring discrete groups, examining their geometric properties, arithmetic relationships, and dynamic behaviors in modern mathematics.

• YouTube
• 1 hour 52 minutes
• Self-Paced
• Free Video

Fields Institute

Geometry, Arithmetic, and Dynamics of Discrete Groups - Lecture 19

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
• Self-Paced
• Free Video

Fields Institute

Geometry, Arithmetic, and Dynamics of Discrete Groups - Lecture 20

Delve into advanced mathematical concepts exploring discrete groups, examining their geometric properties, arithmetic relationships, and dynamic behaviors in modern mathematics.

• YouTube
• 1 hour 47 minutes
• Self-Paced
• Free Video

Fields Institute

Geometry, Arithmetic, and Dynamics of Discrete Groups - Lecture 18

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

• YouTube
• 1 hour 30 minutes
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• Free Video

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
• Self-Paced
• Free Video

Fields Institute

Geometry, Arithmetic, and Dynamics of Discrete Groups - Lecture 14

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

• YouTube
• 1 hour 42 minutes
• Self-Paced
• Free Video