Characterisation of Area-Strict Limits of Planar BV Homeomorphisms
Explore area-strict limits of planar BV homeomorphisms, focusing on cavitations, fractures, and the no-crossing condition in elastic deformations.
Kato Meets Bakry-Émery: Curvature Conditions in Riemannian Geometry
Explore the relationship between Bakry-Émery curvature-dimension and Kato condition on Ricci curvature, uncovering insights on Kato limit spaces and Riemannian manifolds.
Failure of the Curvature-Dimension Condition in Sub-Finsler Manifolds
Explore the failure of curvature-dimension conditions in sub-Finsler manifolds, focusing on recent proofs and implications for sub-Riemannian geometry and the Heisenberg group.
Sobolev Spaces in Extended Metric-Topological Measure Spaces
Explore Sobolev spaces in extended metric-topological measure spaces, focusing on Cheeger energy construction and properties in this general framework.
A Sharp Isoperimetric-Type Inequality for Lorentzian Spaces Satisfying Time-Like Ricci Curvature Lower Bounds
Explore sharp isoperimetric-type inequalities in Lorentzian spaces with time-like Ricci curvature bounds, including applications to black holes and cosmological space-times.
Integral Varadhan Formula for Nonlinear Heat Flow on Measured Finsler Manifolds
Explore integral Varadhan formula for nonlinear heat flow on measured Finsler manifolds, examining particle probability and distance relationships in geometric analysis.
Dimension-Independent Functional Inequalities on Sub-Riemannian Manifolds
Explore gradient estimates and functional inequalities on sub-Riemannian manifolds, focusing on techniques like tensorisation and quotients for spaces without curvature bounds.
Unified Synthetic Ricci Curvature Lower Bounds for Riemannian and Sub-Riemannian Geometries
Explore unified synthetic Ricci curvature lower bounds for Riemannian and sub-Riemannian geometries through gauge metric measure spaces. Discover recent advances in metric measure and sub-Riemannian spaces.
Rigidity of Mass-Preserving 1-Lipschitz Maps from Integral Current Spaces into Euclidean Spaces
Explore rigidity of mass-preserving 1-Lipschitz maps from integral current spaces to Euclidean balls, proving isometry conditions and discussing stability of positive mass theorem for graphical manifolds.
Numerical Approaches to Modelling Curved Surfaces
Explore numerical methods for modeling curved surfaces, focusing on applications in physics and biology.
Anti-de Sitter Geometry and Applications to Hyperbolic Surfaces - Lecture 4
Explore Anti-de Sitter geometry and its applications to hyperbolic surfaces in this advanced mathematics lecture by Andrea Seppi.
Curvature Tensors and Measures of Singular Spaces - Lecture 3
Explore advanced concepts in geometry, focusing on curvature tensors and measures of singular spaces in this in-depth mathematical lecture.
Discrete Conformal Geometry of Polyhedral Surfaces - Part I
Explore discrete conformal geometry of polyhedral surfaces, focusing on curvature and rigidity concepts in non-Riemannian geometry.
Anti-de Sitter Geometry and Applications to Hyperbolic Surfaces - Part II
Explore Anti-de Sitter geometry and its applications to hyperbolic surfaces in this advanced mathematics lecture by Andrea Seppi.
Geometric Inequalities in Space of Nonpositive Curvature - Part I
Explore geometric inequalities in spaces of nonpositive curvature, focusing on advanced mathematical concepts and their applications.
Anti-de Sitter Geometry and Applications to Hyperbolic Surfaces - Part I
Explore Anti-de Sitter geometry and its applications to hyperbolic surfaces in this advanced mathematics lecture by Andrea Seppi.
Curvature Tensors and Measures of Singular Spaces - Part I
Explore curvature tensors and measures of singular spaces in advanced geometry, focusing on concepts beyond Riemannian geometry.
The Quasi-Redirecting Boundary in Proper Metric Spaces
Explore a new boundary concept for proper metric spaces, examining its properties, relation to quasi-isometries, and connections to other boundary types in geometric group theory.
Minimality of the Compact-Open Topology on Diffeomorphism and Homeomorphism Groups
Explore minimality of compact-open topology on diffeomorphism groups, its implications for homeomorphism groups, and connections to automatic continuity results.
Metric-Functional Boundary of Cayley Graphs
Explore the horofunction boundary of Cayley graphs for small finitely generated groups, focusing on linear growth and the Gap Conjecture. Gain insights into metric spaces and group theory.
Finitely Presented Simple Groups of Homeomorphisms of the Reals
Explore Thompson's groups and finitely generated simple groups of homeomorphisms, with insights into joint research on finitely presented examples.