Introduction to Quantum Integrability - Lecture 2
Explore quantum integrability concepts, focusing on advanced topics and applications in theoretical physics.
The Space of Holographic CFTs - Two-Dimensional CFTs and AdS3 Gravity - Lecture 5
Explore two-dimensional CFTs and AdS3 gravity, focusing on their unique properties and connections to holography. Gain insights into the AdS/CFT correspondence in lower dimensions.
The Space of Holographic CFTs - Lecture 4: Bootstrapping the Space of Holographic CFTs
Explore holographic CFTs through conformal bootstrap techniques. Delve into constraints, classifications, and connections to quantum gravity in this advanced theoretical physics lecture.
The Space of Holographic CFTs - Correlation Functions and Holography - Lecture 3
Explore correlation functions in holographic CFTs and their connection to AdS/CFT correspondence. Gain insights into large N conformal field theories and emergent gravity descriptions.
The Space of Holographic CFTs - Lecture 2
Explore large N conformal field theory, conformal bootstrap, and AdS/CFT correspondence. Gain insights into holographic CFTs and their connection to quantum gravity theories.
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.
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.
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.
How Lagrangian States Evolve into Random Waves
Explore the evolution of Lagrangian states into random waves in quantum chaos, focusing on Berry's conjecture and its implications for high-energy limits on negatively curved manifolds.
Integrability of Box-Ball Systems and Randomized Box-Ball Systems - Part 1
Explorez l'intégrabilité des systèmes de boîtes à boules et leurs versions aléatoires. Découvrez les liens avec la théorie des cristaux, l'ansatz de Bethe et l'ultradiscrétisation dans ce domaine fascinant des mathématiques.
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.
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.
Large Coupling Limits of Integrable Spin Chains
Explore dynamics of integrable spin chains, focusing on XXZ chain and Hubbard model. Examine large coupling limits and emerging effective theories in various physical situations.
VOAs from Higher-Dimensional Quantum Field Theories - Lecture 3
Explorez les algèbres d'opérateurs vertex issues des théories quantiques des champs en dimensions supérieures et leurs liens avec d'autres domaines mathématiques.
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.
VOAs from Higher-Dimensional Quantum Field Theories - Lecture 4
Explorez les algèbres d'opérateurs vertex issues des théories quantiques des champs en dimensions supérieures et leurs liens avec d'autres domaines mathématiques.
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.
VOAs from Higher-Dimensional Quantum Field Theories - Part I
Explore vertex operator algebras from quantum field theories in 2-6 dimensions, focusing on connections to other mathematical branches.
VOAs from Higher-Dimensional Quantum Field Theories - Lecture 2
Explorez les algèbres d'opérateurs vertex issues des théories quantiques des champs en dimensions supérieures, en mettant l'accent sur leurs liens avec d'autres domaines mathématiques.