Danny Ruberman- Diffeomorphism Groups of 4-Manifolds
Exploring unique 4-dimensional phenomena: infinite families of homeomorphic but non-diffeomorphic manifolds, and exotic behavior in diffeomorphism and homeomorphism groups.
Equivariant A-Theory & Spaces of Equivariant H-Cobordisms
Explore equivariant A-theory and h-cobordisms, focusing on Waldhausen's algebraic K-theory of manifolds and its role in classifying manifolds and diffeomorphisms.
Homeomorphisms of Euclidean Space
Explore recent advances in understanding the topological group of homeomorphisms of Euclidean space, including methods and emerging conjectures in geometric topology.
On the Denseness of Finitude of Sinks in Diffeomorphisms of Large Number of Intervals
Explore denseness of finitude of sinks in diffeomorphisms and transformations of large interval numbers. Gain insights from Carlos Gustavo Moreira's presentation at the International Conference on Dynamical Systems.
Symplectic Mapping Class Groups: Structural Properties from Smooth to C⁰
Explore structural properties of symplectic mapping class groups, from smooth to C⁰, with an overview of key concepts and open questions in this mathematical field.
Conjugate Points and the MC Criterion in Volume-Preserving Diffeomorphisms - Lecture
Explore conjugate points on volume-preserving diffeomorphisms, focusing on the MC criterion and its applications in fluid dynamics and Riemannian geometry.
Pseudo-Isotopy and Diffeomorphisms of 4-Manifolds
Explore recent advancements in pseudo-isotopy theory and its applications to studying diffeomorphisms of 4-manifolds with David Gabai.
The Ricci Flow - Lecture by Richard Hamilton
Explore the Ricci flow equation, its applications in geometry, and its role in understanding manifold curvature evolution. Gain insights into singularities and geometric analysis.
Isometric Evolution in De Sitter Gravity - Kristan Jensen
Explores isometric evolution in de Sitter gravity, focusing on boundary conditions, large diffeomorphisms, and wave functions. Discusses implications for higher-dimensional gravity and quantum mechanics.
Musings on Entanglement Entropy in String Theory - Lecture 3
Explore entanglement entropy in string theory, focusing on UV divergences, black hole entropy, and worldsheet perspectives. Delve into gauge transformations, diffeomorphisms, and path integrals.
In Search of Euler Equilibria via the Magnetic Relaxation Equations
Explore geometric fluid dynamics, focusing on Euler equilibria and Moffatt's Magnetic Relaxation equations. Delve into recent findings on these mathematically challenging active vector equations with cubic nonlinearity.
Can a Scalar Conservation Law Imitate a Diffeomorphism? - Lecture on Fluid Flow Geometry
Explore the representation of scalar convex conservation laws as paths in diffeomorphism spaces, examining weak solutions and their implications for fluid dynamics.
Emergence of Diffeomorphism from Quantum Field Theory
Exploring the potential emergence of diffeomorphism from quantum field theory, delving into fundamental concepts at the intersection of quantum mechanics and general relativity.
Geometry, Topology and Discrete Symmetries Revealed by Deep Neural Networks
Explore deep neural networks' ability to reveal geometry, topology, and discrete symmetries in manifolds. Learn about universal approximators and their applications in inverse problems and group actions.
Geodesic Framework for Vortex Sheets and Generalized Fluid Flows
Explore geodesic frameworks for vortex sheets and generalized fluid flows, examining group-theoretic approaches to ideal hydrodynamics and Lie groupoid symmetries in mathematical physics.