Dominated Representations, Intersections and Large Deviations
Explore hyperbolic metrics, dominated representations, and counting measures in groups, examining their connections to mean distortions and growth rates.
Logarithmic Sobolev Inequalities on Homogeneous Spaces
Explore logarithmic Sobolev inequalities on homogeneous spaces with sub-Riemannian structures. Discover how constants depend on Lie group geometry and remain independent of dimension in certain cases.
On Geometric Construction of Artin Representation
Explore Serre's conjecture on integer-valued functions and Q_l-rational representations of finite groups acting on regular local rings.
Spectral Gaps vs the Baum-Connes Conjecture
Explore the relationship between spectral gaps and the Baum-Connes conjecture in mathematics, delving into advanced concepts in functional analysis and topology.
New Equivariant Dimensions
Explore equivariant dimensions with Ludwik Dąbrowski, delving into advanced mathematical concepts and their applications in theoretical physics.
Approximation of Vertex-Transitive Graphs by Nilpotent Groups and Applications to Probability
Explore vertex-transitive graph approximation using nilpotent groups and its probabilistic applications in this mathematical research presentation.
Nilspaces and Their Applications
Explore nilspaces and their applications in mathematics, focusing on key concepts and practical uses in various fields.
The Magic of Far Reaching Arrows - From Groups to Grupoids
Explore the mathematical journey from groups to grupoids, uncovering the power of far-reaching arrows in abstract algebra and category theory.
Weyl's Character Formula
Explore Weyl's Character Formula in mathematics, delving into its applications and significance in representation theory. Gain insights from expert Nigel Higson of Penn State University.
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.
Acylindricity of the Cremona Group - Lecture 3
Explore the Cremona group's action on infinite-dimensional hyperbolic space and its acylindrical hyperbolicity, leading to insights on its SQ-universal property and embeddings of countable groups.
Acylindricity of the Cremona Group - Part I
Explore the Cremona group's action on infinite-dimensional hyperbolic space and its acylindrical hyperbolicity, leading to insights on its structure and embedding properties.
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.
Perfect Matchings in Hyperfinite Graphings - Lecture 1
Explore perfect matchings in hyperfinite graphings, their geometric structure, and applications in probability, group theory, and measurable equidecompositions.
Perfect Matchings in Hyperfinite Graphings - Lecture 3
Explore perfect matchings in hyperfinite graphings, their geometric structure, and applications in probability, group theory, and measurable equidecompositions.
Amenable Groups - An Introduction
Explore amenable groups, a class of tame groups generalizing theorems about Z, and discover their fascinating properties and applications in measured group theory.
Random Subgroups - Lecture 1: Invariant Random Subgroups
Explore the theory of invariant random subgroups (IRS) and its applications to lattices and asymptotic invariants in locally symmetric manifolds and discrete subgroups of Lie groups.
Random Subgroups - Lecture 3: Non-Invariant Random Subgroups
Explore the theory of stationary random subgroups (SRS) and its applications to lattices and asymptotic invariants in Lie groups, expanding beyond invariant random subgroups (IRS).
Perfect Matchings in Hyperfinite Graphings - Lecture 2
Explore perfect matchings in hyperfinite graphings, their geometric structure, and applications in probability, group theory, and measurable equidecompositions.
Poisson Structures on Character Varieties
Explore Poisson structures on character varieties, examining maps between oriented surfaces and their impact on conjugacy classes of fundamental group representations into Lie groups.
Orderability of 3-Manifold Groups and the L-Space Conjecture
Explore orderability of 3-manifold groups, focusing on the L-space conjecture and its connections to group orderability, taut foliations, and Heegaard Floer homology in hyperbolic 3-manifolds.