Nijenhuis Geometry Symmetries, Conservation Laws and Applications to Geodesically Equivalent Metrics
Explore Nijenhuis Geometry symmetries, conservation laws, and their applications to geodesically equivalent metrics. Gain insights from A. Bolsinov's expert perspective.
Exponential Mixing of Frame Flows for Geometrically Finite Hyperbolic Manifolds
Explore exponential mixing of frame flows in geometrically finite hyperbolic manifolds through advanced analytic techniques in dynamics and geometry.
Lorentzian Calderón Problem Under Curvature Bounds
Explore analytic techniques in dynamics and geometry, focusing on the Lorentzian Calderón problem with curvature bounds. Gain insights from expert L. Oksanen of the University of Helsinki.
Closed Geodesics and Intersection Numbers in Dynamics and Geometry
Explorez les techniques analytiques en dynamique et géométrie, en mettant l'accent sur les géodésiques fermées et les nombres d'intersection.
Recent Developments in Constant Mean Curvature Hypersurfaces - Part I
Explore recent developments in constant mean curvature hypersurfaces, focusing on existence theory using min-max methods and discussing open problems in the field.
Spherical Plateau Problem and Applications in Geometric Analysis
Explore area minimization in Hilbert sphere quotients, entropy inequality, and stability results for Riemannian surfaces, with applications to hyperbolic geometry and eigenvalue bounds.
Currents on Metric Spaces and Intrinsic Flat Convergence
Explore Ambrosio-Kirchheim's Theory of Currents on Metric Spaces and delve into integral current spaces and intrinsic flat convergence, providing essential background for Antoine Song's talk.
Self-Similar Solutions to Extension and Approximation Problems - Lecture
Explore self-similar solutions in extension and approximation problems, focusing on Lipschitz and Hölder maps with unique properties in higher dimensions.
Lipschitz Constant and Degree of Mappings in Riemannian Manifolds
Explore the relationship between Lipschitz constant and degree of mappings in Riemannian manifolds, focusing on recent developments and clever mapping techniques.
Interplay Between Notions of Convexity in Complex, Symplectic and Contact Geometries
Explore the interplay between convexity notions in complex, symplectic, and contact geometries. Gain insights into pseudo-convexity, rational convexity, and their geometric counterparts.
Recent Developments in Constant Mean Curvature Hypersurfaces - Part II
Explore recent developments in constant mean curvature hypersurfaces, focusing on min-max theorems and the half-volume spectrum. Gain insights into advanced geometric analysis concepts.
Scalar Curvature Rigidity in Manifolds
Explore scalar curvature rigidity in manifolds, examining known solutions and current research questions using spinorial techniques.
Scalar Curvature Rigidity and Extremality in Dimension 4
Explore scalar curvature rigidity in 4D using Finsler-Thorpe trick and twisted spinor methods. Discover area-extremal properties of 4-manifolds with nonnegative sectional curvature.
Recent Inequalities on the Mass-to-Capacity Ratio
Explore new inequalities for mass-to-capacity ratio on manifolds with nonnegative scalar curvature, revealing proofs of positive mass theorem and applications in geometry.
Positive Mass Theorem for Asymptotically Hyperbolic Manifolds
Explore the positive mass theorem for asymptotically hyperbolic manifolds and its implications in AdS/CFT correspondence and global invariants at conformal infinity.
Intrinsic Flat Stability of the Positive Mass Theorem for Graphical Manifolds
Explore intrinsic flat stability of positive mass theorem for graphical manifolds, focusing on asymptotically flat and hyperbolic cases. Gain insights into rigidity, stability, and ongoing research.
Continuous Time Bubbling for the Harmonic Map Heat Flow in Two Dimensions
Explore continuous time bubbling in harmonic map heat flow, focusing on finite energy maps from plane to two-sphere without symmetry assumptions.
Twisted K-theory in Motivic Homotopy Theory
Explore algebraic K-theory of vector bundles twisted by Brauer class, its role in motivic homotopy theory, and a new approach to the motivic spectral sequence for twisted K-theory.
Ghost Polygons, Poisson Bracket and Convexity in Anosov Representations
Explore Anosov representations, length functions, and Poisson brackets in moduli spaces. Discover combinatorial techniques and their applications to convexity in character varieties.
Thurston's Asymmetric Metrics for Anosov Representations
Explore Thurston's asymmetric metric and its generalization to Anosov representations, applying thermodynamical formalism to construct pressure metrics on representation spaces.
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.