Helly Graphs and Injective Metric Spaces - Part I
Explorez les graphes de Helly et les espaces métriques injectifs : définitions, propriétés et exemples. Découvrez leurs caractéristiques non positives et leurs liens avec divers groupes géométriques.
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.
Perfect Kernels and Dynamics: From Bass-Serre Theory to Hyperbolic Groups
Explore perfect kernels and dynamics in mathematics, from Bass-Serre theory to hyperbolic groups, with insights from Pénélope Azuelos's conference talk at CIRM.
Complex Dynamics in the Tropics - Structures on 2- and 3-Manifolds Coming from Dynamical Systems
Explore complex dynamics in the tropics, focusing on structures in 2- and 3-manifolds derived from dynamical systems. Gain insights into multimodal maps, hyperbolic groups, and related mathematical concepts.
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.
Character Varieties of Random Groups
Explore character varieties of random groups, including representation spaces, faithful representations, and hyperbolic groups. Delve into surface groups, random presentations, and boundary limits.
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.
Growth of Subgroups with Hyperbolicity - Lecture 3
Explore growth of (sub)groups with hyperbolicity in this advanced mathematics lecture, part of a workshop on geometric group theory featuring eminent researchers and collaborative research opportunities.
Growth of Subgroups with Hyperbolicity - Lecture 2
Explore growth of (sub)groups with hyperbolicity in this advanced mathematics lecture, part of a workshop on geometric group theory featuring eminent researchers and collaborative research opportunities.
Examples of Infinite Groups, their ℓ2-Homology and Boundaries - Lecture 2
Explore infinite groups, ℓ2-homology, and boundaries in this advanced mathematics lecture, delving into geometric group theory concepts and their applications.
Growth of (Sub)Groups with Hyperbolicity - Lecture 1
Explore growth patterns in hyperbolic subgroups with expert Inhyeok Choi. Gain insights into geometric group theory and its applications in diverse mathematical fields.
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.
Metric-Functional Boundary of Cayley Graphs
Explore the horofunction boundary of Cayley graphs for small finitely generated groups, focusing on linear growth and the Gap Conjecture. Gain insights into metric spaces and group theory.
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.
Thurston's Asymmetric Metrics for Anosov Representations
Explore Thurston's asymmetric metric and its generalization to Anosov representations, applying thermodynamical formalism to construct pressure metrics on representation spaces.
Helly Graphs and Injective Metric Spaces - Part 2
Explorez les graphes de Helly et les espaces métriques injectifs, leurs propriétés et constructions, en mettant l'accent sur les aspects géométriques et les applications aux groupes mathématiques.
Automorphisms of Groups and Higher Rank JSJ Decomposition
Explore automorphisms of hierarchically hyperbolic groups and a generalized JSJ decomposition, encoding algebraic structure and dynamics of automorphisms in higher rank settings.
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.
Subgroup Distortion in Hyperbolic Groups
Explore subgroup distortion in hyperbolic groups, surveying known functions and examining new examples constructed with Tim Riley.
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.
Relatively Geometric Actions on Cube Complexes
Explore relatively geometric actions on cube complexes, their examples, and implications for separability of quasi-convex subgroups in relatively hyperbolic groups.