Lorentzian Length Spaces: An Introduction to Synthetic Lorentzian Geometry
Explore synthetic Lorentzian geometry foundations, focusing on time separation functions, curvature bounds, and applications in General Relativity, including recent developments in singularity theorems.
From Newton's Laws to Fluid Mechanics: Deriving the Boltzmann Equation - Award Lecture
Explore the derivation of fluid mechanics equations from Newton's laws, examining irreversibility and propagation of chaos in the context of Boltzmann's kinetic theory.
Reliable AI: Successes, Challenges, and Limitations
Explore mathematical approaches to reliable AI, including generalization guarantees, explainability, and applications in imaging and physics, while discussing limitations and connections to novel computing.
C^0-Inextendibility of FLRW Spacetimes Without Particle Horizons - Mathematical Relativity
Explore C^0-inextendibility of FLRW spacetimes without particle horizons, focusing on positive and negative spatial sectional curvature cases and scale factor implications.
On the Classification Problem for Static Metrics with Positive Cosmological Constant
Explore recent advances in classifying static solutions to vacuum Einstein field equations with positive cosmological constant and related mass concepts in general relativity.
A Quiescent Regime for Big Bang Formation
Explore stable big bang formation in general relativity, covering recent results and a new condition for big bang formation in Einstein-non-linear scalar field settings.
Mathematical General Relativity: Seventy-Two Years After Yvonne Bruhat's Foundational Acta Paper
Explore key achievements in mathematical general relativity since Y.C Bruhat's foundational Acta paper, reviewing 72 years of progress in the field.
The Nonlinear Stability of Kerr for Small Angular Momentum
Explore the black hole stability conjecture and its recent developments, focusing on the Kerr family of metrics and their stability in Einstein's vacuum equations.
Mass Aspect Function for Weakly Regular Asymptotically Hyperbolic Manifolds
Explore mass aspect function definition for weakly regular asymptotically hyperbolic manifolds, extending Wang's work to low regularity settings using cut-off functions and distribution theory.
How Minimal Hypersurface and MOTS Singularities Affect Relativity Theorems
Explore how singularities in minimal hypersurfaces and MOTS impact key theorems in relativity, focusing on challenges and solutions in different dimensions.
Gluing Black Holes Along Timelike Geodesics
Explore the construction of metrics describing Kerr black holes traveling along timelike geodesics in smooth globally hyperbolic spacetimes, with applications to extreme mass ratio mergers.
Ergodic Results for the Stochastic Nonlinear Schrödinger Equation with Large Damping
Explore ergodic results for stochastic nonlinear Schrödinger equations with large damping, focusing on uniqueness of invariant measures in Rd (d≤3).
Force Spectroscopy Sheds Light on the Structure and Dynamics of Nucleosomes
Explore force spectroscopy's insights into nucleosome structure and dynamics, revealing chromatin's complex behavior at the molecular level.
Physics of Surface Segregation: From Industrial Formulations to Chromatin Organization
Explore surface segregation physics in polymers and its applications to biophysical processes like chromatin organization and cellular behavior.
Sister Chromatid Cohesion is Asymmetric
Explore asymmetric sister chromatid cohesion in this workshop talk, integrating mathematics, physics, and computation for biological and medical advances.
Brownian Motion at Interfaces - Experimental and Theoretical Studies
Explore Brownian motion near interfaces using experimental, theoretical, and numerical methods. Analyze microparticle trajectories, probability densities, and non-Gaussian behavior to infer nanoscale properties.
Memory Effect and Carroll Symmetry for Gravitational Waves
Explore gravitational wave detection through particle displacement, integrating geodesic equations using plane wave isometries and Carroll group symmetry to determine particle trajectories.
Definition of Spin Charge in Asymptotically-Flat Spacetimes
Explore a novel approach to defining spin charge in asymptotically-flat spacetimes using generalized-BMS algebra, coadjoint orbits, and vorticity concepts.
Radiation in Holography
Explore encoding radiative degrees of freedom in 4D asymptotically AdS spacetimes using boundary tensors. Examine effects on symmetry groups and connections to flat spacetimes.
BMS-Supertranslation Charges at the Critical Sets of Null Infinity
Explore BMS-supertranslation charges in asymptotically flat spacetimes, analyzing Strominger's conjecture and its validity using Friedrich's formulation of spatial infinity.
Oppenheimer-Snyder Type Collapse for the Einstein-Vlasov System
Explore gravitational collapse approximation using Einstein-Vlasov system, extending Oppenheimer-Snyder's work on dust balls to understand black holes and cosmic censorship.