Quantum Mechanics and Quantum Field Theory from Algebraic and Geometric Perspectives - Part 3
Explore alternative viewpoints on quantum mechanics, including algebraic and geometric approaches. Gain insights into particle concepts, scattering, and L-functionals for solving infrared problems in quantum electrodynamics.
Quantum Mechanics and Quantum Field Theory from Algebraic and Geometric Perspectives - Lecture 2
Explore alternative viewpoints to quantum mechanics, including algebraic and geometric approaches. Examine observables, states, and scattering concepts without relying on traditional textbook methods.
Quantum Mechanics and Quantum Field Theory from Algebraic and Geometric Perspectives - Part 1
Explore alternative viewpoints on quantum mechanics, including algebraic and geometric approaches. Gain insights into particle concepts, scattering, and L-functionals for solving infrared problems in quantum electrodynamics.
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.
The Resurgent Structure of Topological Strings
Explore the resurgent structure of topological strings through trans-series solutions of holomorphic anomaly equations, examining Borel singularities and alien derivatives in Calabi-Yau manifolds.
A Statistical Physics Approach to the Sine Beta Process and Other Random Point Processes
Explore statistical physics approaches to Sine Beta processes and random point systems, focusing on universality properties and applications of DLR tools.
Cutoff for the Transience Time for the SSEP with Traps and the Facilitated Exclusion Process
Explore phase separation in the facilitated exclusion process, examining its mapping to SSEP with traps and analyzing transience time cutoff and mixing time implications.
Fredrickson-Andersen 2-Spin Facilitated Model - Sharp Threshold
Explore sharp threshold results for the Fredrickson-Andersen 2-spin facilitated model, examining relaxation mechanisms and proof techniques for interacting particle systems with kinetic constraints.
Flows of Irregular Vector Fields in Fluid Dynamics - Lecture 6
Explore modern techniques for analyzing flows of irregular vector fields, with applications to fluid dynamics and turbulence theory. Gain insights into nonlinear PDEs and Euler/Navier-Stokes equations.
Flows of Irregular Vector Fields in Fluid Dynamics - Lecture 5
Explore modern techniques for analyzing flows of irregular vector fields, including quantitative regularity estimates, nonuniqueness solutions, and applications to fluid dynamics PDEs.
Flows of Irregular Vector Fields in Fluid Dynamics - Lecture 4
Explore modern techniques for analyzing flows of irregular vector fields, including quantitative regularity estimates, nonuniqueness solutions, and applications to fluid dynamics PDEs.
Flows of Irregular Vector Fields in Fluid Dynamics - Lecture 3
Explore modern techniques for analyzing flows of irregular vector fields, including quantitative regularity estimates, nonuniqueness solutions, and applications to fluid dynamics PDEs.
Flows of Irregular Vector Fields in Fluid Dynamics - Lecture 2
Explore modern techniques for analyzing flows of irregular vector fields, including quantitative regularity estimates, nonuniqueness solutions, and applications to fluid dynamics PDEs.
Flows of Irregular Vector Fields in Fluid Dynamics - Lecture 1
Explore modern concepts in flows of irregular vector fields, including quantitative regularity estimates, nonuniqueness solutions, and applications to fluid dynamics and turbulence theory.
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.
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.
Reversal in the Stationary Prandtl Equations
Explore reversal and recirculation in stationary Prandtl equations, examining the Goldstein singularity and analyzing the system as a quasilinear, mixed-type, free-boundary problem.
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.