The Relative Trace Formula in Electromagnetic Scattering
Explore electromagnetic scattering through a relative trace formula, examining perfectly conducting obstacles' impact on fields and the challenges posed by Maxwell's equations.
Hadamard States for Maxwell Fields via Complete Gauge Fixing
Explore Hadamard states for Maxwell fields through complete gauge fixing, delving into spectral theory and mathematical relativity concepts.
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.
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.
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).
Initial Classification of Global Behavior Around Multi-Solitons for the Nonlinear Klein-Gordon Equation
Explore nonlinear Klein-Gordon equation's global behavior near multi-solitons, focusing on unstable mode tracing and energy transfer mechanisms in three-dimensional space.
Scattering for Wave Equations with Sources and Slowly Decaying Data
Explore scattering solutions for wave equations with polynomially decaying sources, analyzing radiation fields and asymptotic behavior near the lightcone in nonlinear wave contexts.
Dispersion Estimates for Dirac Equations with Aharonov-Bohm Magnetic Fields
Explore dispersive properties of 2D Dirac operators with Aharonov-Bohm potentials, examining flow components and deducing sharp Strichartz estimates for advanced mathematical analysis.
Weakly Turbulent Solution to the Schrödinger Equation on the 2D Torus with Potential
Explore a smooth solution to the linear Schrödinger equation on a 2D torus, examining logarithmic H^1 Sobolev norm growth and infinite-time blowup using adapted CKSTT techniques.
The Modified Energy Method for a Nonlocal Quasilinear Wave Equation
Explore nonlinear waves and relativity through the modified energy method for a nonlocal quasilinear wave equation in this advanced mathematics lecture.
Waves on Kerr-de Sitter Space
Explore wave propagation on Kerr-de Sitter spaces in the subextremal range, featuring updates on joint research with Peter Hintz and Oliver Petersen.
From Perturbative to Non-Perturbative Algebraic Quantum Field Theory
Explore perturbative AQFT's role in constructing strict AQFT models, focusing on sine-Gordon and dynamical C*-algebra examples.
Infinite Algebras and Intertwining Networks for Calogero Models
Explore infinite algebras and intertwining networks in Calogero models, focusing on symmetric observables, W algebras, and newly discovered vertical intertwiners for multi-particle systems.
Relationship Between Grosse-Wulkenhaar Model and N-Body Harmonic Oscillators or Calogero Models
Explore the connection between Grosse-Wulkenhaar model and N-body harmonic oscillators in quantum field theory, presented by Akifumi Sako at ESI's Workshop on Exactly Solvable Models.
Supergroup Chern-Simons Theory
Explore supergroup Chern-Simons theory with Volker Schomerus in this advanced physics lecture from the "Exactly Solvable Models" workshop.
Bethe Ansatz in 2D Conformal Field Theory
Explore Bethe ansatz equations in 2D conformal field theory, examining their relation to W algebras and affine Yangian symmetry. Gain insights into quantum integrability beyond Virasoro algebra.
Exploring the Creative Union of Artificial Intelligence and Pure Mathematics
Explore the fusion of AI and pure mathematics, uncovering how machine learning can predict complex mathematical structures and potentially revolutionize theorem proving and scientific discovery.
Supersymmetric XYZ Correlations and Painlevé VI
Explore supersymmetric XYZ correlations and their connection to Painlevé VI equations in condensed matter physics and quantum field theory.
Application of the Hidden Fermionic Structure to Integrable Quantum Field Theory
Explore hidden fermionic structures in integrable quantum field theory, applying concepts to condensed matter physics and enhancing understanding of complex systems.
The Hidden Landscape of Localization - Kirk Lecture
Explore the hidden landscape of localization in complex systems, understanding wave confinement, eigenfunctions, and their implications for various mathematical and physical phenomena.