Curvature Contribution to the Essential Spectrum of Dirac Operators with Critical Shell Interactions
Explore the essential spectrum of 3D Dirac operators with critical shell interactions, examining how surface geometry influences spectral properties in quantum mechanics.
Unique Continuation for Solutions of Discrete and Continuous Elliptic Partial Differential Equations
Explore unique continuation properties for elliptic equation solutions, including discrete harmonic functions and the Landis conjecture, with applications to Anderson localization.
Ensembles of Random Matrices with Complex Potentials - Workshop on Integrable Systems
Explorez les résultats rigoureux récents sur l'expansion topologique et le diagramme de phase dans les ensembles de matrices aléatoires avec potentiels complexes cubiques et quartiques.
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.
Ergodic Theory of the Stochastic Burgers Equation
Explorez la théorie ergodique de l'équation de Burgers stochastique, en examinant les distributions stationnaires et les propriétés à long terme des minimiseurs d'action lagrangienne aléatoires.
Random Plane Geometry - A Gentle Introduction
Explore random plane geometry and its scaling limits, focusing on first passage percolation and the directed landscape in Kardar-Parisi-Zhang models.
A Journey from Statistical Mechanics to Number Theory
Explore connections between statistical mechanics and number theory, focusing on the Riemann zeta function and its relation to phase transitions in disordered systems.
Reducible but Indecomposable Representations in Mathematical Physics
Explore representation theory in non-unitary physical systems, focusing on reducible but indecomposable representations and their importance in statistical loop models and CFT.
K-tilings of the Aztec Diamond
Explore K-tilings of the Aztec diamond, a fascinating mathematical concept in integrable systems and exactly solvable models.
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.
The Origin of Trigonometric K-matrices - Part I
Explore the mathematical foundations of quantum integrability with boundaries, focusing on K-matrices and their universal properties in relation to quantum affine algebras and reflection equations.
Integrability of Box-Ball Systems and Randomized Box-Ball Systems - Part II
Explore integrability and randomization in box-ball systems. Delve into crystals, Bethe ansatz, ultradiscretization, and analytical results from TBA and GHD. Gain insights into density plateaux and current correlations.
Riesz Inequality for Polygons: Symmetry and Symmetry Breaking
Explore counterparts of Hardy-Littlewood and Riesz inequalities for polygons, examining symmetry and symmetry breaking in nonlocal isoperimetric problems.
Aggregation-Diffusion and Kinetic PDEs for Collective Behavior: Applications in Sciences
Explorez les modèles mathématiques de comportement collectif, leurs propriétés et applications en biologie et ingénierie. Découvrez les phénomènes de ségrégation, transitions de phase et consensus.
Extensions of Affine Algebra Vertex Operator Algebras
Explore extensions of affine algebra VOAs, focusing on V(g,k) for simple Lie algebras. Learn about finite-index extensions, simple currents, and quantum subgroups in module category classification.
Extension of Bershadsky-Polyakov Type Algebras
Explore toroidal shifted algebras and deformed W-algebras, focusing on extensions of Bershadsky-Polyakov type algebras in quantum symmetries.
Algebraic Presentations of 4- and 3-Manifolds in Low-Dimensional Topology
Explore algebraic presentations of 4- and 3-manifolds, focusing on categories of n-cobordisms and their relation to low-dimensional topology and combinatorial group theory.
Volume Conjecture for Surface Diffeomorphisms
Explore quantum invariants for surface diffeomorphisms and their connection to mapping torus volume. Examine representation theory, numerical evidence, and a proof for the figure-eight knot complement case.
4D/2D Duality and Representation Theory in Quantum Field Theory
Explore the 4D/2D duality in superconformal field theory, connecting 4D theories to vertex operator algebras and examining their representation theory and symplectic singularities.
Diagrammatics in Categories - Lecture 4
Explorez les catégories diagrammatiques en algèbre à travers des exemples concrets et leur formalisme spécifique. Développez votre compréhension des applications dans divers domaines.