Hyperbolic Groups Courses and Certifications

Centre de recherches mathématiques - CRM

Poisson Boundaries Without Moment Conditions for Hyperbolic Groups

Explore advanced techniques for identifying Poisson boundaries of hyperbolic groups, focusing on the innovative "pin down approximation criterion" for finite entropy measures without moment assumptions.

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

Centre de recherches mathématiques - CRM

Finite Index Rigidity of Hyperbolic Groups

Explore finite index rigidity of hyperbolic groups, examining tools and ideas for proving isomorphic finite index subgroups have the same index in non-elementary cases.

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

Centre de recherches mathématiques - CRM

Subgroups of Hyperbolic Groups, Finiteness Properties and Complex Hyperbolic Lattices

Explore finiteness properties of subgroups in hyperbolic groups and complex hyperbolic lattices, focusing on cocompact arithmetic lattices with positive first Betti number.

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

Hausdorff Center for Mathematics

Geometry of the Regular Representation of Hyperbolic Groups

Explore geometric properties of regular representation in hyperbolic groups, including the natural quotient Q and its ultralimit Q_ω, with applications to spherical volume and minimal surface geometry in negatively curved manifolds.

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

Hausdorff Center for Mathematics

A Counterexample to Kleiner's Conjecture

Delve into the construction of a self-similar CLP-space that disproves Kleiner's conjecture about metric spaces with combinatorial Loewner property being quasisymmetric to Loewner spaces.

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

Centre de recherches mathématiques - CRM

Subgroup Distortion in Hyperbolic Groups

Explore subgroup distortion in hyperbolic groups, surveying known functions and examining new examples constructed with Tim Riley.

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

Centre International de Rencontres Mathématiques

C*-Algebras Associated with Boundary Actions of Certain Torsion-Free Hyperbolic Groups

Explore C*-algebras associated with boundary actions of torsion-free hyperbolic groups in this advanced mathematical talk by Shirly Geffen.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Embeddings into Finitely Presented Simple Groups - Hyperbolic Groups and the Boone-Higman Conjecture

Explore embeddings of hyperbolic groups into finitely presented simple groups, addressing the Boone-Higman Conjecture and its implications for group theory and word problems.

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

INI Seminar Room 2

Linearity Criteria for Automorphism Groups of Hyperbolic Groups

Explore linearity criteria for automorphism groups of hyperbolic groups in this advanced mathematical seminar by Dr. Mark Pengitore from the Polish Academy of Sciences.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video

Institute for Advanced Study

Detecting Stationary Measure Classes in Hyperbolic Groups

Delve into geometric statistics for analyzing stationary measures in hyperbolic group theory, focusing on random walks and boundary convergence in cocompact fuchsian groups.

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

Hausdorff Center for Mathematics

The Tarski Problem for Hyperbolic Groups with Torsion

Explore the Tarski problem for hyperbolic groups with torsion, examining partial results and new difficulties caused by non-trivial finite order elements in group theory.

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

International Centre for Theoretical Sciences

Amenable Action for Groups with Weaker Hyperbolic Properties

Explore the concept of amenable action for groups with weaker hyperbolic properties in this mathematical lecture by Shubhabrata Das, part of the New Trends in Teichmüller Theory program.

• YouTube
• 1 hour 7 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

Centre de recherches mathématiques - CRM

On Subgroups of a Hyperbolic Group

Explore hyperbolic group properties, focusing on non-hereditary nature and finite type subgroups. Examine construction methods using hyperbolic 5-manifolds fibering over the circle.

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

International Mathematical Union

Groups Acting on Hyperbolic Spaces - A Survey

Explore group actions on hyperbolic spaces with Mladen Bestvina in this comprehensive survey, covering key concepts, recent developments, and applications in geometric group theory.

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