Geometric Group Theory Courses and Certifications

Divergence in Coxeter Groups

Explore the divergence in Coxeter groups with the University of Miami. Understand geodesic rays, Cayley graphs, and the hypergraph index in less than an hour.

• YouTube
• 49 minutes
• On-Demand
• Free Online Course

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

Explore Stallings folds' impact on subgroups of free groups with the University of Miami. Learn about their applications in right-angled Coxeter groups in less than an hour.

• YouTube
• 48 minutes
• On-Demand
• Free Online Course

Institute for Pure & Applied Mathematics (IPAM)

Ultraslow Dynamics, Fragile Fragmentation, Exotic Entanglement

Explore quantum dynamics and entanglement with Shankar Balasubramanian in a 56-minute session with IPAM. Delve into hydrodynamics and geometric group theory.

• YouTube
• 56 minutes
• On-Demand
• Free Online Course

Applied Algebraic Topology Network

Discrete Homotopy Theory and Applications

Explore discrete homotopy theory and its applications with the Applied Algebraic Topology Network. Learn to quantify topological features of spaces in less than an hour.

• YouTube
• 49 minutes
• On-Demand
• Free Online Course

Applied Algebraic Topology Network

Shmuel Weinberger - PH(X^Y) and the Geometry of Function Spaces

Dive into algebraic topology with Shmuel Weinberger's session on the homology of function spaces, offered by the Applied Algebraic Topology Network. Less than 1-hour workload.

• YouTube
• 53 minutes
• On-Demand
• Free Online Course

Applied Algebraic Topology Network

From Trees to Barcodes and Back Again - Combinatorial and Geometric Perspectives

Explore topological data analysis with the Applied Algebraic Topology Network. Learn to recover input data from topological descriptors and study neuron distributions in under an hour.

• YouTube
• 54 minutes
• On-Demand
• Free Online Course

Joint Mathematics Meetings

Searching for Hyperbolicity

Join the Joint Mathematics Meetings for a brief, engaging exploration of Hyperbolicity, led by Ruth Charney from Brandeis University.

• YouTube
• 52 minutes
• On-Demand
• Conference Talk

Applied Algebraic Topology Network

Vietoris-Rips Thickenings - Problems for Birds and Frogs

Explore open problems related to Vietoris-Rips complexes in this 1-2 hour material from the Applied Algebraic Topology Network. Ideal for both broad theory and problem-solving mathematicians.

• YouTube
• 1 hour 18 minutes
• On-Demand
• Free Online Course

Applied Algebraic Topology Network

Urs Lang - Combinatorial Dimension and Higher-Rank Hyperbolicity

Explore combinatorial dimension and higher-rank hyperbolicity in metric spaces with Applied Algebraic Topology Network. Less than 1-hour study, based on a joint paper by Urs Lang and Martina Jørgensen.

• YouTube
• 57 minutes
• On-Demand
• Free Online Course

International Centre for Theoretical Sciences

Symmetric Spaces by Pralay Chatterjee

Explore geometry, dynamical systems, and group actions in a comprehensive program by the International Centre for Theoretical Sciences. Ideal for graduate students and young researchers.

• YouTube
• 1 hour 14 minutes
• On-Demand
• Free Online Course

Applied Algebraic Topology Network

Vietoris-Rips Complexes and Geometric Group Theory

Explore the role of Vietoris-Rips complexes in geometric group theory with Matthew Zaremsky's talk offered by the Applied Algebraic Topology Network. Less than 1-hour workload.

• YouTube
• 51 minutes
• On-Demand
• Free Online Course

ICTP Mathematics

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

Explore proper affine actions of right angled Coxeter groups with J. Danciger in this 1-2 hour material from ICTP Mathematics.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Online Course

QuantumTopology

The Arc Metric on Teichmuller Space

Learn about the arc metric on Teichmuller space from Athanase Papadopoulos in less than an hour with QuantumTopology.

• YouTube
• 53 minutes
• On-Demand
• Free Online Course

IIT Kanpur;  NPTEL

An Introduction to Hyperbolic Geometry

Explore hyperbolic geometry and its applications in geometric group theory with this 12-week course from the Indian Institute of Technology Kanpur. Ideal for PG & PhD students.

• Swayam
• 12 weeks
• Finished
• Free Online Course