Random Walks on Groups - Part 2
Explore advanced concepts of random walks on groups, focusing on mathematical dynamics and probabilistic methods in group theory.
Dynamics Associated to Anosov Representations: Some Geometric Consequences - Lecture 2
Explore dynamical systems of Anosov representations, including Patterson-Sullivan theory, critical hypersurface, and directional-conicality. Examine dominated sequences and their impact on limit set regularity.
Dynamics Associated to Anosov Representations: Some Geometric Consequences - Lecture 1
Explore dynamical systems of Anosov representations, including Patterson-Sullivan theory, critical hypersurface, and directional-conicality. Examine dominated sequences and their impact on limit set regularity.
Anosov Representations - Lecture 3
Explore Anosov representations, their characterizations, domains of discontinuity, and connections to convex projective geometry. Discover recent developments and potential research directions.
The Bottom of the L^2 Spectrum of Higher-rank Locally Symmetric Spaces
Explore the $L^2$ spectrum of higher-rank locally symmetric spaces, examining connections between Laplace eigenfunctions and Patterson-Sullivan measures.
Anosov Representations - Lecture 2
Explore Anosov representations, their characterizations, domains of discontinuity, and connections to convex projective geometry in this advanced mathematical lecture.
Divisible Convex Sets with Properly Embedded Cones
Explore divisible convex sets, their theory, and new examples in projective geometry. Delve into connections with dynamical systems, geometric group theory, and Riemannian geometry.
Introduction to Anosov Representations - Lecture 1
Explore Anosov representations, their characterizations, and applications in convex projective geometry. Gain insights into recent developments and potential research directions.
A Finiteness Theorem for Gromov-Hyperbolic Groups
Explore a finiteness theorem for Gromov-hyperbolic groups, delving into δ-hyperbolic, torsion-free, non-cyclic marked groups with bounded entropy. Gain insights into the proof and key concepts.
L^2 Cohomology of Buildings
Explore L^2 cohomology of buildings with Tadeusz Januszkiewicz, delving into advanced mathematical concepts and their applications in geometric group theory.
Orbit Equivalence Theory, Cost, Ergodic Dimension and L2 Betti Numbers - Lecture 3
Explore orbit equivalence theory, cost, ergodic dimension, and L2 Betti numbers in measured group theory. Gain insights into foundational concepts and invariants through examples and exercises.
Small Cusped Hyperbolic 3-Manifolds and Order-Preserving Braids
Explore minimal-volume cusped hyperbolic 3-manifolds and their fundamental groups' orderability. Investigate order-preserving braids and their impact on Artin actions.
Detecting 3-Manifold Groups Among Circularly Ordered Groups
Explore techniques for identifying 3-manifold groups within circularly ordered groups, focusing on mathematical detection methods and group theory applications.
Fine Curve Graphs and Fragmentation - Lecture 3
Explore fine curve graphs and their applications in geometric group theory, focusing on fragmentation norms in surface homeomorphism groups and large-scale geometry.
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.
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.
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.
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.
Outer Space for Right-Angled Artin Groups
Explore right-angled Artin groups and their automorphisms, bridging free and abelian groups. Discover a new "Outer Space" analogue for RAAGs and its potential applications in geometric group theory.
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.