Probably Approximately Correct Mathematical Physics
Explore applications of machine learning in string theory and mathematical physics, focusing on black holes and higher-spin holography.
Directions in General Relativity
Explore cutting-edge research in general relativity, mathematical physics, and differential geometry with insights on black holes, gravitational instantons, and cosmological models.
On the Motion of Water Waves with Angled Crests
Explore recent findings on 2D water wave dynamics with angled crests, delving into their unique motion and characteristics.
The Vanishing of the Genus Two Summand of the Cosmological Constant in Perturbative Supersymmetric String Theory
Explore the genus two summand of the cosmological constant in perturbative supersymmetric String Theory, focusing on its rigorous definition and computation.
The Amplituhedron - Connecting Scattering Amplitudes and Quantum Field Theory
Explore the connection between scattering amplitudes and the Amplituhedron, a novel mathematical concept generalizing convex polytopes into Grassmannians.
On the Painleve Conjecture in Celestial Mechanics - ICBS 2024
Explore the solution to the Painleve conjecture in celestial mechanics, focusing on noncollision singularities in the four-body problem of Newtonian mechanics.
Fixing Ambiguities in String Theory Using String Field Theory
Explore how string field theory resolves ambiguities in string theory computations, focusing on D-instanton corrections and matrix model comparisons.
Nahm Transform: Old and New - From Yang-Mills Instantons to ALF Gravitational Instantons
Explore the Nahm transform's origins and recent extensions to ALF gravitational instantons, enhancing understanding of Yang-Mills instanton moduli spaces.
3D Kinetic Couette Flow via the Boltzmann Equation in the Diffusive Limit
Explore the rigorous connection between incompressible Couette flow and the Boltzmann equation through novel anisotropic estimates in the Wiener algebra function space.
Large N of Chern-Simons Matrix Model and Conformal Field Theory
Explore the emergence of 1+1D conformal field theory from large N limit of 2+1D Chern-Simons matrix models, including Kac-Moody algebra and holographic duality.
Alterfold Topological Quantum Field Theory
Explore the connection between injective ground states of gapped Hamiltonians and TQFT, bridging topological orders with constructive quantum field theory.
Solving Integral Equations with Inti.jl - JuliaCon 2024
Explore Inti.jl for solving volume and boundary integral equations in mathematical physics. Learn about its user-friendly features, integration capabilities, and specialized routines for handling singular kernels.
Learning Hamiltonian Systems with Mono-Implicit Runge-Kutta Methods
Explore advanced numerical methods for simulating Hamiltonian systems using Mono Implicit Runge-Kutta techniques, enhancing accuracy and efficiency in scientific computations.
Anomalous Dissipation and the Strong Onsager Conjecture - Part 5: Intermittent Pressure
Explore anomalous dissipation and the Strong Onsager Conjecture, focusing on intermittent pressure in turbulent flows. Delve into energy transfer mechanisms and mathematical descriptions of turbulence.
Anomalous Dissipation and the Strong Onsager Conjecture - Part 1: The Local Energy Inequality
Explore anomalous dissipation and the Strong Onsager Conjecture, focusing on local energy inequality in turbulent flows and energy transfer between scales.
Anomalous Dissipation and the Strong Onsager Conjecture - Part 2: L^3 Convex Integration
Explore anomalous dissipation and the Strong Onsager Conjecture in turbulent flows, focusing on L^3 convex integration techniques for mathematical analysis of energy transfer.
Quantum Vortex Knots and Links under Zero Helicity Condition
Explore quantum vortex knots and links under zero helicity condition in this advanced mathematics lecture by Renzo Ricca.
Lyapunov Exponents of the Navier-Stokes Equations
Explore Lyapunov exponents in Navier-Stokes equations through Alex Blumenthal's conference talk, delving into probabilistic techniques for random and time-dependent dynamical systems.
Odd Fluids - Mathematical Analysis of Non-Standard Fluid Dynamics
Explore odd fluids and their mathematical properties in this conference talk by Francesco Fanelli at CIRM's MathFlows meeting.
The Rayleigh-Bénard Problem for Compressible Fluid Flows
Explore the Rayleigh-Bénard problem for compressible fluid flows, focusing on asymptotic stability, trajectory space, and ergodic averages in energetically closed systems.
The Landau Hamiltonian with Delta-Potentials Supported on Curves
Explore the Landau Hamiltonian with delta-potentials on curves in this mathematical conference talk. Gain insights into spectral analysis for quantum Hamiltonians.