Finite Quotients of Fibered, Cusped 3-Manifold Groups
Explore finite quotients of 3-manifold groups, leveraging mapping class group properties to study profinite completions of fibered hyperbolic 3-manifold fundamental groups.
Notions of Nonpositive Curvature and Groups - Lecture 1
Explorez les notions de courbure non positive et leur application à la théorie des groupes, en mettant l'accent sur les méthodes combinatoires et géométriques classiques.
Rank of 3-Manifold Groups - Lecture 3
Explore 3-manifold group ranks, covering Heegaard genus, Abert-Nikolov's work on rank growth, and geometric decompositions of hyperbolic 3-manifolds with bounded rank.
Rank of 3-Manifold Groups - Lecture 2
Explore 3-manifold group ranks, covering Heegaard genus, Abert-Nikolov's work on rank growth, and geometric decompositions of hyperbolic 3-manifolds with bounded rank.
Rank of 3-Manifold Groups - Part I
Explore 3-manifold group ranks, covering generation, Heegaard genus, growth in cover towers, mapping tori, and geometric decompositions of hyperbolic 3-manifolds.
3-Manifold Groups and the Cannon Conjecture - Part I
Explorez les conditions conjecturales impliquant qu'un groupe est le groupe fondamental d'une 3-variété compacte. Examinez la conjecture de Cannon et ses variantes, ainsi que leurs connexions et critères.
Geometrization and its Consequences in 3-Manifold Topology - Part I
Explore Thurston's geometric perspective on 3-manifolds, including Perelman's Geometrization Theorem, and its implications for topology, algorithms, and group theory in 3-dimensional spaces.
Geometrization and Its Consequences in 3-Manifold Topology - Part II
Explore Thurston's geometric perspective on 3-manifolds, Perelman's Geometrization Theorem, and their impact on topology. Discover algorithmic and group-theoretic applications in 3-manifold theory.
Geometric Approaches to Artin Groups
Explore geometric approaches to Artin groups, focusing on constructing group actions on spaces with CAT(0), hyperbolic, or systolic geometries. Gain insights into recent progress and parabolic subgroups.
From Braid Groups to Artin Groups - Lecture 1
Explore Artin groups, including braid groups and free groups. Discover algebraic and geometric characterizations, current knowledge, and new approaches to challenging problems in this field.
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.
The Markov Ordering of the Rationals
Explore hyperbolic geometry's role in characterizing monotonicity of rational number ordering on a modular torus, connecting to Diophantine approximation and number theory.
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.
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.
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.
Endperiodic Maps via Pseudo-Anosov Flows
Explore atoroidal, endperiodic maps on infinite-type surfaces through pseudo-Anosov flows, examining stretch factors, foliation cones, and entropy functions in topological dynamics.
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.