Kontsevich-Duflo Theorem for Differential Graded Manifolds
Explore the Kontsevich-Duflo theorem's application to differential graded manifolds, delving into advanced mathematical concepts and their implications in this field.
Signal Communication and Modular Theory
Explore signal communication and modular theory with Roberto Longo, delving into advanced mathematical concepts and their applications in quantum physics.
Equivalence of Fluctuations Between SHE and KPZ Equation in Weak Disorder Regime
Explore the connection between stochastic heat equation and KPZ equation, demonstrating fluctuation equivalence in weak disorder regime for 3+ dimensions.
Quantum Exclusion Process, Random Matrices and Free Cumulants
Explore quantum exclusion process, random matrices, and free cumulants in relation to particle hopping models and their invariant measure fluctuations.
Matrix Model for Structure Constants of Huge Protected Operators in N=4 SYM Theory
Explore matrix model representations for protected correlation functions of huge operators in N=4 SYM theory, unveiling connections to integrable hydrodynamics and Calogero-Moser models.
Resurgence and Quantum Modularity
Explore improved analytic properties of q-difference equations, computing Stokes constants, and quantum modular forms in knot theory and related mathematical areas.
Quantum Chern-Simons Theory: Real and Complex Formulations - Lecture 3
Explore WRT invariants, Resurgence conjecture, and Teichmüller TQFT in quantum Chern-Simons theory, with detailed examples and new formulations.
Quantum Chern-Simons Theory: Real and Complex Formulations - Lecture 2/3
Explore Quantum Chern-Simons Theory, covering WRT invariants, Resurgence conjecture, and Teichmüller TQFT, with detailed examples and discussions.
Quantum Chern-Simons Theory: Real and Complex Formulations - Lecture 1
Explore Quantum Chern-Simons Theory, covering WRT invariants, Resurgence conjecture, and Teichmüller TQFT. Delve into detailed examples and discuss related conjectures.
Scaling Limits of Disordered Systems
Explore scaling limits of disordered systems, focusing on the Poland-Scheraga model for DNA denaturation and its phase transition effects.
Wall-crossing and Resurgence in Supersymmetric QFT
Explore wall-crossing and resurgence in supersymmetric quantum field theory, uncovering their physical applications and implications in advanced theoretical physics.
Probabilistic and Deterministic Scattering for Non-linear Schrödinger Equations
Explore probabilistic and deterministic scattering in non-linear Schrödinger equations, examining random initial data and wave operators through recent research findings.
Singular Stochastic PDE: More Geometry and Less Combinatorics
Explore singular stochastic PDEs through a geometric approach, focusing on renormalization, symmetry preservation, and Malliavin derivatives for characterizing expansions without divergent terms.
Mean-Field Limits for Singular Flows
Explore mean-field limits for singular flows, focusing on Coulomb and Riesz interactions in gradient and conservative systems, with insights on convergence methods.
Invariant Gibbs Measures for 2D NLS and 3D Cubic NLW
Explore recent developments in randomness propagation for dispersive PDE, focusing on Gibbs measure invariance for 2D NLS and 3D cubic NLW, using advanced mathematical techniques.
The Quartic Integrability and Long Time Existence of Steep Water Waves in 2D
Explore advanced mathematical analysis of 2D water waves, focusing on quartic integrability and long-term existence of steep waves in infinite depth scenarios.
The Nonlinear Stability of Slowly Rotating Kerr Black Holes
Explore nonlinear stability of slowly rotating Kerr black holes through joint research findings, delving into advanced astrophysical concepts and mathematical models.
Mathematical General Relativity - Seventy-Two Years after Yvonne Choquet-Bruhat's Foundational Acta Paper
Explorez les avancées majeures en relativité générale mathématique depuis l'article fondateur d'Y.C. Bruhat, en examinant son impact durable sur le domaine.
Macdonald Dualities in Genus One and Two
Explore Macdonald/Koornwinder polynomial dualities, from spherical Double Affine Hecke Algebra on a torus to genus two Macdonald theory, with Philippe Di Francesco.
What Perturbative Field Theory Teaches Us About Statistical Analysis
Explore perturbative field theory's applications in particle physics, statistical mechanics, and functional analysis, focusing on divergence regularization and optimal transportation.
Fock Spaces Associated with Coxeter Groups of Type B
Explore Fock spaces related to infinite hyperoctahedral groups, examining two-parameter functions and their positive definiteness in extreme characters. Apply findings to cyclic Fock spaces of type B.