
Explore rigidity in geometric group theory, focusing on graphs of groups with graphically discrete vertex groups and their quasi-isometric and action rigidity properties.

Explore relatively geometric actions on cube complexes, their examples, and implications for separability of quasi-convex subgroups in relatively hyperbolic groups.

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.

Explore hyperbolically embedded subgroups in acylindrically hyperbolic groups, examining geometric properties, connections to random walks, and applications in proving key results.

Explore hyperbolically embedded subgroups in acylindrically hyperbolic groups, examining geometric properties, connections to random walks, and applications in proving key results.

Explore l^2 homology of groups, its definition via simplicial complex actions, and implications for group theory, particularly when these invariants vanish.

Explore l^2 homology of groups, its computation, and implications for group theory, focusing on cases where these invariants vanish.

Explore acylindrically hyperbolic groups through hyperbolically embedded subgroups. Investigate geometric properties, connections with random walks, and applications to important results in group theory.

Explore l^2 homology of groups through examples, calculations, and implications for group theory, focusing on vanishing invariants.

Explore smooth 2-groups and principal bundles in Lie groupoids. Learn about categorical generalizations of groups and their applications in mathematics.

Explore recent advancements in geometric Langlands theory, including verified conjectures and related questions in algebraic geometry and representation theory.

Explore measure and topological rigidity in dynamical systems beyond homogeneous spaces, examining conditions for rigidity properties on manifolds.

Explore equivariant derived categories, their structure theorems, and applications to GIT quotients and hidden symmetries in algebraic geometry.

Explore homological aspects of branching laws for p-adic group representations, focusing on restriction to subgroups and projective representations in Bernstein blocks.

Explore tensor power decomposition in group representations, focusing on asymptotic behavior and non-negligible summands using symmetric tensor category theory.

Explore coset covering functions in infinite, finitely generated groups. Discover lower bounds, linear growth in amenable groups, and exponential behavior in property (T) 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.

Explore computer-assisted methods for proving property (T) in geometric group theory, including recent developments and human efforts to understand these proofs.

Explore measure equivalence and wreath products in group theory, focusing on nonabelian free groups and orbit equivalence of wreath products.

Explore stationary random subgroups and injectivity radius in negative curvature, focusing on rank one simple Lie groups and hyperbolic manifolds. Gain insights into recent theorems and their applications.

Explore similarities between representation theories of finite groups in positive characteristics and algebraic supergroups, including Sylow subgroups and Green correspondence for supergroups.