Geometric Group Theory Courses and Certifications

ICTP Mathematics

Advanced School on Geometric Group Theory and Low-Dimensional Topology - Recent Connections and Advances

Explore cutting-edge connections between geometric group theory and low-dimensional topology through advanced lectures on virtually special groups, hyperbolic manifolds, and Teichmuller theory.

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

Applied Algebraic Topology Network

Vietoris-Rips Complexes and Geometric Group Theory

Explore Vietoris-Rips complexes in geometric group theory, focusing on topological finiteness properties, hyperbolic groups, and recent developments in Morse theory and persistent homology.

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

Fields Institute

Flag Complexes, Polyhedral Products and Geometric Group Theory

Explore connections between flag complexes, polyhedral products, and geometric group theory in this advanced mathematics lecture by Stephen Theriault from the University of Southampton.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

Banach Center

Nonpositive Curvature in Geometric Group Theory

Explore how nonpositive curvature concepts from differential geometry apply to understanding group structures and their geometric properties in modern mathematics.

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

Institut des Hautes Etudes Scientifiques (IHES)

Geometry in Non-Positive Curvature and Kähler Groups

Explore advanced geometric group theory through expert lectures on hyperbolic geometry, Kähler groups, and their interactions in this specialized mathematical conference.

• YouTube
• 10 hours 11 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

Applied Algebraic Topology Network

Urs Lang - Combinatorial Dimension and Higher-Rank Hyperbolicity

Exploration of (n,δ)-hyperbolicity in metric spaces, its relation to Gromov's δ-hyperbolicity, and applications in geometric group theory and hierarchically hyperbolic groups.

• YouTube
• 57 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

QuantumTopology

The Arc Metric on Teichmuller Space

Explore the arc metric on Teichmuller space with Athanase Papadopoulos, delving into advanced concepts in geometric topology and complex analysis.

• YouTube
• 53 minutes
• 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

Centre de recherches mathématiques - CRM

A Substitute for Kazhdan's Property (T) for Universal Non-Lattices - Lecture

Explore computer-assisted methods for proving property (T) in geometric group theory, including recent developments and human efforts to understand these proofs.

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

Centre de recherches mathématiques - CRM

Constructing Relatively Geometric Actions on CAT(0) Cube Complexes

Explorez la construction d'actions géométriques relatives sur des complexes cubiques CAT(0) et leurs applications à l'étude des groupes relativement hyperboliques.

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

Centre de recherches mathématiques - CRM

The Nielsen Realization for Untwisted Automorphisms of Right-Angled Artin Groups

Explore Nielsen realization for untwisted automorphisms in right-angled Artin groups, focusing on finite subgroups and their fixed points in outer space.

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

Centre de recherches mathématiques - CRM

Loxodromic Elements in Right-Angled Artin Groups

Explorez la génération rapide d'éléments loxodromiques dans les groupes d'Artin à angles droits et leur impact sur la croissance exponentielle dans les espaces hyperboliques.

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

Centre de recherches mathématiques - CRM

Small Cancellation Free Product Quotients are Relatively Cubulated

Explore geometric actions of C'(1/6) free products on CAT(0) cube complexes and their implications for residual finiteness in group theory.

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