Topological Recursion: A Recursive Way of Counting Surfaces
Explore topological recursion for enumerating surfaces in combinatorics, geometry, and physics. Learn how this universal method links to integrable systems and random matrices.
A Tribute to John Harnad and Developments on Association Schemes
Explore John Harnad's influence and recent developments in higher rank association schemes through a personal account and mathematical overview.
Crystal Bases in Statistical Mechanics, Representation Theory and Combinatorics - Part II
Explore crystal base theory applications in symmetric functions and cyclic sieving through combinatorial crystal definitions in statistical mechanics and representation theory.
Crystal Bases in Statistical Mechanics, Representation Theory and Combinatorics - Part I
Explore crystal base theory applications in symmetric functions and cyclic sieving through combinatorial definitions, enhancing understanding of statistical mechanics and representation theory.
Integrable Billiards and Rigidity - Lecture 1
Explore integrable billiards and the Birkhoff-Poritsky conjecture, focusing on Hopf-type rigidity and its extension to Twist symplectic maps and billiards.
Critical Well-Posedness for the Derivative Nonlinear Schrödinger Equation on the Line
Explore critical well-posedness for the derivative nonlinear Schrödinger equation on the line, focusing on recent advancements in resolving the problem in critical space.
Curvature-Homogeneous Riemannian 3-Manifolds and Integrable Systems
Explore curvature-homogeneous Riemannian 3-manifolds, surveying known examples and recent discoveries. Delve into connections with integrable systems, particularly Toda lattices, to construct new explicit examples.
Quantitative Refinements of Conjectures in 3D Reeb Dynamics - Workshop on Conservative Dynamics and Symplectic Geometry
Explore quantitative refinements of conjectures in 3D Reeb dynamics and related results. Delve into symplectic topology, Hamiltonian dynamics, and contact geometry with expert Umberto Hryniewicz.
Morse Type Theories with Differential Graded Coefficients - Workshop on Conservative Dynamics and Symplectic Geometry
Explore Morse type theories with differential graded coefficients in this advanced mathematics lecture. Gain insights into Conservative Dynamics and Symplectic Geometry from expert Mihai Damian.
Law of Fractional Logarithms for Extrema of Airy Processes
Delve into advanced mathematical concepts exploring fractional logarithms and their relationship to extrema of Airy processes through theoretical physics and integrable systems analysis.
Stationary Measures for Integrable Probabilistic Systems
Explore advanced mathematical concepts in integrable probabilistic systems, focusing on stationary measures, discrete models, and their applications in theoretical physics and mathematics.
Colored Vertex Models, Orthogonal Functions and Probability - Lecture 2
Delve into advanced concepts of colored vertex models, exploring their connections to orthogonal functions and probability theory through expert mathematical analysis and demonstrations.
Vertex Operator Algebras and Integrable Systems - Lecture 2
Delve into advanced mathematical concepts of vertex operator algebras, screening methods, W-algebras, and their applications in geometric Langlands theory and integrable systems with Boris Feigin.
The Relevance of Being Irrelevant - Stefano Negro
Explore the concept of irrelevance in integrable models across mathematical physics, condensed-matter physics, and string theory. Gain insights into recent advances and their implications for various fields.
Tilting the Cusp Anomalous Dimension in Planar N=4 SYM - Lance Dixon
Explore cutting-edge research on planar N=4 SYM scattering, focusing on the cusp anomalous dimension and its connections to integrable models in theoretical physics.
Superdiffusion, Subdiffusion, Integrability - Sarang Gopalakrishnan
Explores non-equilibrium many-body physics, focusing on superdiffusion, subdiffusion, and integrability in quantum systems. Discusses the XXZ spin chain and integrability-breaking, providing insights into transport phenomena and diffusion.
Convergence of the Two-Point Form Factor Series in the 1+1 Dimensional Sinh-Gordon Model
Explores convergence of form factor series in 1+1D Sinh-Gordon model, developing techniques to prove convergence and estimate large-n behavior of n-fold integrals, advancing mathematical foundations of integrable quantum field theories.
Algebraic-Geometrical Methods in the Theory of Integrable Systems
Explore algebraic-geometrical methods in integrable systems theory with renowned mathematician Igor Krichever, delving into advanced mathematical concepts and their applications.
The Computational Theory of Riemann-Hilbert Problems - Lecture 4
Explores computational approaches to Riemann-Hilbert problems, covering Cauchy integrals, Sobolev spaces, and applications to nonlinear equations like Schrödinger and KdV, with code demonstrations and numerical solution techniques.
Forced Integrable Systems - The Case of Sine-Gordon Equation by Vasudeva Murthy
Explore forced integrable systems, focusing on the sine-Gordon equation. Examine its applications in tectonic stress transfer and crack dynamics, with insights on boundary conditions and numerical methods.
Basic Lectures on Bethe Ansatz - Pedagogical Lecture 2
Comprehensive lecture on Bethe Ansatz, covering integrable models, spin excitations, prethermalization, and algebraic approaches. Explores key equations, Fourier space, and the 6-vertex model for advanced physics students.