Introduction to Quiver BPS Algebras - Part 4
Explore quiver BPS algebras with Wei Li, delving into advanced concepts and applications in mathematical physics and representation theory.
Introduction to Quiver BPS Algebras - Part 2
Explore advanced concepts of quiver BPS algebras, building on foundational knowledge to deepen understanding of this complex mathematical topic.
Introduction to Quiver BPS Algebras - Part 3
Explore advanced concepts in quiver BPS algebras, delving into complex mathematical theories and applications in theoretical physics.
Introduction to Quiver BPS Algebras - Part 1
Explore quiver BPS algebras with Wei Li, delving into fundamental concepts and theoretical foundations. Gain insights into this advanced mathematical topic.
Quivers, Nahm Sums and Hidden Symmetries in Knot Homologies - Part 2
Explore advanced concepts in knot theory, including quivers, Nahm sums, and hidden symmetries in knot homologies.
Quivers, Nahm Sums and Hidden Symmetries in Knot Homologies - Part 2
Explore advanced concepts in knot theory, including quivers, Nahm sums, and hidden symmetries in knot homologies.
Quivers, Nahm Sums and Hidden Symmetries in Knot Homologies - Part 1
Explore quivers, Nahm sums, and hidden symmetries in knot homologies with expert Dmitry Noshchenko in this advanced mathematics lecture.
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.
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.
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.
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.
Algebraization of Low-Dimensional Topology - Part II
Explore algebraic presentations of cobordism categories in 3 and 4 dimensions, focusing on torus-based structures and their implications for Topological Quantum Field Theories.
Diagrammatics in Categories - Lecture 5
Explorez les catégories diagrammatiques en algèbre à travers des exemples concrets et leur formalisme spécifique, en laissant place à la généralisation.
Affine W-algebras - Lecture 5
Explore affine W-algebras construction, theory, and applications in vertex algebra. Delve into quantum Hamiltonian reduction, Virasoro minimal models, and tensor categories of W-algebra representations.
Towards the Quantum Exceptional Series
Explore continuous families of planar algebras interpolating exceptional Lie algebras and their quantum counterparts. Discover a potential new exceptional knot polynomial through skein theoretic analysis.
Affine W-algebras - Part I
Explore affine W-algebras construction via quantum Hamiltonian reduction. Delve into vertex algebra theory, Virasoro minimal models, and tensor categories of W-algebra representations.
W-algebras and Lax Operators - Lecture 5
Explore finite W-algebras, twisted Yangians, and Lax operators. Investigate relationships between these mathematical structures in quantum algebra and integrable systems.