The Space of Holographic CFTs - Lecture 1
Explore large N conformal field theory, conformal bootstrap, and AdS/CFT correspondence. Gain insights into holographic CFTs and their connection to quantum gravity theories.
Climate Change Modeling with Limited Data: Strategies for Financial Risk Assessment
Explore narrative-based scenario analyses for climate risk assessment, combining empirical data and statistical models to support actionable advice on net-zero investment strategies.
Log-Canonical Coordinates on Poisson-Lie Groups
Explore log-canonical coordinates on Poisson-Lie groups and their role in cluster structures. Discover a construction method for log-canonical charts using R-matrices from Belavin-Drinfeld classification.
Quantum Spin Calogero-Moser Systems and the 2D Yang-Mills Theory
Explore quantum spin Calogero-Moser systems and their connection to 2D Yang-Mills theory in this advanced mathematical physics lecture by Nicolai Reshetikhin.
Graphs, Hurwitz Numbers and Commuting Operators
Explorez les graphes, les nombres de Hurwitz et les opérateurs commutatifs. Découvrez les relations généralisées de coupe-jonction et leur lien avec les opérateurs différentiels multivariables.
Bi-Hamiltonian Structures of Spin Sutherland Models from Poisson Reduction
Explore bi-Hamiltonian structures of spin Sutherland models through Poisson reduction. Examine compatible Poisson brackets on cotangent bundles and their reductions, revealing new insights into integrable systems.
The Open Toda Chain with External Forcing
Explore the open Toda chain with external forcing, examining stretching and compressing effects. Learn about complete integrability and Juergen Moser's observation in this mathematical analysis.
Quantum Ergodicity on Periodic Graphs
Explorez l'ergodicité quantique sur les graphes périodiques avec Mostafa Sabri, découvrant les liens fascinants entre la géométrie spectrale et les structures mathématiques complexes.
Exact Results in Non-Equilibrium Statistical Mechanics - Part II
Explore advanced concepts in non-equilibrium statistical mechanics, including Work Identities, Fluctuation Theorem, and Macroscopic Fluctuation Theory. Learn how integrability techniques yield exact solutions.
Exact Results in Non-Equilibrium Statistical Mechanics - Part I
Explore recent advancements in non-equilibrium statistical mechanics, including Work Identities, Fluctuation Theorem, and Macroscopic Fluctuation Theory. Learn how integrability techniques yield exact solutions.
Generalised Hydrodynamics for Classical Particle Systems
Explore generalised hydrodynamics in classical particle systems, focusing on asymptotic coordinates mapping and its applications in integrable systems like box-ball and Toda.
Invariant Measures for KPZ Systems with Boundaries
Explore invariant measures for KPZ systems with boundaries in this mathematical workshop presentation by Ivan Corwin.
Polynuclear Growth and the Toda Lattice
Explore polynuclear growth models in KPZ universality, examining integrable Markov processes and determinantal formulas governed by the non-Abelian 2D Toda lattice.
Direct and Inverse Scattering for the Ultradiscrete KdV Equation
Explore direct and inverse scattering methods for solving the ultradiscrete KdV equation, including the Takahashi-Satsuma Box & Ball system, using Darboux transformations and eigenfunctions.
Modeling the Impact of Stochasticity and Spatial Structure on Homing-Based Gene Drive Spread
Explore gene drive systems' spatial spread using reaction-diffusion models. Compare deterministic and stochastic approaches, examining effects on fitness costs, wave speed, and barrier penetration.
Belavin-Drinfeld Quantum Groups - Survey and Future Directions
Explore Belavin-Drinfeld quantum groups, their deformations, and connections to semi-simple algebraic Poisson groups. Survey current knowledge, conjectures, and future research directions in this field.
Gap Labelling II
Explore advanced concepts in gap labelling theory, focusing on periodic and ergodic spectral problems in mathematical physics.
Potential Theoretic Methods for Deterministic Schrödinger Operators
Explorez les méthodes de théorie du potentiel pour les opérateurs de Schrödinger déterministes, présentées par Wilhelm Schlag de l'Université Yale.
Modular Tensor Categories, Quantum Groups and Vertex Algebras - Lecture 4
Explore connections between modular tensor categories, quantum groups, and vertex algebras. Delve into the logarithmic Kazhdan–Lusztig conjecture linking quantum groups and vertex algebras.
Fermionic Forms in Logarithmic Vertex Operator Algebras and BPS Quivers
Explore connections between quantum groups, vertex algebras, and quiver representations. Uncover new insights into fermionic forms and their applications in representation theory and enumerative geometry.
Modular Tensor Categories, Quantum Groups and Vertex Algebras - Lecture 1
Explore modular tensor categories, focusing on nonsemisimple theory. Gain insights into these mathematical structures and their connections to quantum symmetries and algebraic concepts.