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.
Strong Coherence of One-relator Groups
Explore strong coherence in one-relator groups, examining their geometric and algebraic properties in this advanced mathematical lecture.
Cubulating Drilled Bundles Over Graphs
Explore Gromov-hyperbolic surface bundles, drilling essential closed curves, and cubulability conditions in relatively hyperbolic fundamental groups with peripheral Z+Z groups.
Local Connectivity of the Boundary of a Relatively Hyperbolic Group
Explore local connectivity of boundaries in relatively hyperbolic groups, extending Gromov's results to a more general setting without restrictions. Gain insights into geometric group theory.
The Coherence of One-Relator Groups
Explore the coherence of one-relator groups, focusing on Baumslag's conjecture and its proof. Gain insights into finitely generated subgroups and their presentations in group theory.
Subgroup Distortion in Hyperbolic Groups
Explore subgroup distortion in hyperbolic groups, surveying known functions and examining new examples constructed with Tim Riley.
Banded Projections to Z-factor Graph - Lecture
Explore baneled projections to Z-factor graphs in subgroup geometry, delving into advanced mathematical concepts and their applications.
Outer Spaces of Virtually Free Groups - Lecture on Group Theory
Explore the deformation space of trees in virtually free groups, relating it to Outer Space of free subgroups. Understand equivalence and actions on trees with finite stabilizers.
Rational Curvature Invariants of 2-Dimensional Complexes
Explore new rational curvature invariants of 2-complexes, unifying theories of various families and their potential applications in geometric group theory.
Rigidity in Graphs of Groups
Explore rigidity in geometric group theory, focusing on graphs of groups with graphically discrete vertex groups and their quasi-isometric and action rigidity properties.
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.
The Electrification of X Relative to Y is S^3 HYP
Explorez les concepts mathématiques avancés de l'électrification de X par rapport à Y et son lien avec S^3 HYP dans cette présentation approfondie.
Hyperbolically Embedded Subgroups of Acylindrically Hyperbolic Groups - Lecture 2
Explore hyperbolically embedded subgroups in acylindrically hyperbolic groups, examining geometric properties, connections to random walks, and applications in proving key results.
Hyperbolically Embedded Subgroups of Acylindrically Hyperbolic Groups - Lecture 3
Explore hyperbolically embedded subgroups in acylindrically hyperbolic groups, examining geometric properties, connections to random walks, and applications in proving key results.
L^2 Homology of Groups and Consequences - Part I
Explore l^2 homology of groups, its definition via simplicial complex actions, and implications for group theory, particularly when these invariants vanish.
L^2 Homology of Groups and Consequences - Lecture 3
Explore l^2 homology of groups, its computation, and implications for group theory, focusing on cases where these invariants vanish.
Hyperbolically Embedded Subgroups of Acylindrically Hyperbolic Groups - Lecture 1
Explore acylindrically hyperbolic groups through hyperbolically embedded subgroups. Investigate geometric properties, connections with random walks, and applications to important results in group theory.
L^2 Homology of Groups and Consequences - Lecture 2
Explore l^2 homology of groups through examples, calculations, and implications for group theory, focusing on vanishing invariants.
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.
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.
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.