Coxeter Groups Courses and Certifications

Centre de recherches mathématiques - CRM

Coxeter Groups are Biautomatic - Workshop on Cube Complexes and Combinatorial Geometry

Explore the biautomaticity of Coxeter groups and its implications for uniform lattices in building isometry groups. Gain insights from recent mathematical research.

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

Institute for Advanced Study

Buildings, Galleries and Beyond

Explore Bruhat-Tits buildings, their combinatorial toolkits, and relationships to groups, Grassmannians, flag varieties, and Coxeter group combinatorics.

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

IMSA

Divergence in Coxeter Groups

Explores divergence in Coxeter groups, introducing the 'hypergraph index' to characterize linear, quadratic, and exponential divergence in these mathematical structures.

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

Institut des Hautes Etudes Scientifiques (IHES)

Fock Spaces Associated with Coxeter Groups of Type B

Explore Fock spaces related to infinite hyperoctahedral groups, examining two-parameter functions and their positive definiteness in extreme characters. Apply findings to cyclic Fock spaces of type B.

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

Fields Institute

Subgroups of Right-Angled Artin and Coxeter Groups - Remarks and Analysis

Explore subgroups of right-angled Artin and Coxeter groups with Ian Leary, delving into advanced mathematical concepts and their implications in group theory.

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

International Centre for Theoretical Sciences

Coxeter Groups are Biautomatic - Lecture 2

Explore Coxeter groups' biautomatic properties in this advanced geometric group theory lecture, part of a workshop fostering research collaboration and exposure to active areas in the field.

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Coxeter Groups are Biautomatic - Lecture 1

Explore Coxeter groups and their biautomatic properties in this advanced mathematics lecture, part of a comprehensive workshop on geometric group theory.

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

International Centre for Theoretical Sciences

Coxeter Groups are Biautomatic - Lecture 3

Explore Coxeter groups and their biautomatic properties in this advanced mathematics lecture, part of a comprehensive workshop on geometric group theory.

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

Fields Institute

Associated Lie Algebras of Right-Angled Coxeter Groups and Homotopy Theory

Explore the connection between associated Lie algebras of right-angled Coxeter groups and their applications in homotopy theory through advanced mathematical analysis.

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

Institut des Hautes Etudes Scientifiques (IHES)

Matrices Filled by Variables: From Posets to Coxeter Groups and Beyond

Explore advanced matrix theory through variable-filled matrices, examining their eigenvalue properties across posets, reflection groups, and beyond in theoretical mathematics.

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

ICTP Mathematics

Proper Affine Actions of Right Angled Coxeter Groups - J. Danciger

Explore proper affine actions of right-angled Coxeter groups, delving into their mathematical properties, applications, and implications in geometric group theory and related fields.

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

IMSA

Subgroups of Right-Angled Coxeter Groups via Stallings-like Techniques

Exploration of Stallings-like techniques for subgroups of right-angled Coxeter groups, with applications to hyperbolic groups and algorithmic insights in geometric group theory.

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

Institut des Hautes Etudes Scientifiques (IHES)

Combinatorics and Arithmetic for Physics - Special Days Tenth Anniversary Edition

Explore discrete mathematics and number theory applications in theoretical physics through combinatorial structures, Hopf algebras, and computational methods.

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

Instituto de Matemática Pura e Aplicada

Hyperbolic Manifolds, Their Submanifolds and Fundamental Groups (2025)

Explore cutting-edge developments in hyperbolic geometry and group theory through expert lectures and hands-on minicourses from leading mathematicians worldwide.

• YouTube
• 1 day 6 hours 39 minutes
• On-Demand
• Free Video

Insights into Mathematics

Geometric Graph Theory - Weyl Groups, Root Systems and Quadratic Forms

Explore geometric graph theory through the Mutation Game, examining root systems, Weyl groups, and quadratic forms. Discover how graphs generate unique geometrical structures and reflection groups.

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