Vertex Operator Algebras
Explore the foundations and applications of vertex algebras, from basic concepts to advanced topics like Heisenberg algebra and permutation orbifolds.
Vertex Algebras and Quantum Groups with Big Center
Explore vertex algebras and quantum groups with large centers, focusing on semisimple Lie algebras and their connections to quantum geometric Langlands correspondence and logarithmic Kazhdan-Lusztig conjecture.
Una Introducción a las Álgebras de Vértices y sus Representaciones
Explora las álgebras de vértices y sus representaciones, adentrándote en conceptos fundamentales y aplicaciones avanzadas en matemáticas teóricas.
Representaciones de Álgebras y Física Matemática
Explora las álgebras de vértices, sus representaciones y conexiones con la física matemática. Aborda resultados recientes, problemas abiertos y reformulaciones en álgebras de Lie.
A Commutative Vertex Algebra
Explore the universal commutative vertex algebra with one generator, demonstrating how to give a polynomial ring vertex algebra structure through an in-depth mathematical analysis.
The Normally Ordered Product
Explore the concept of normally ordered product in vertex algebras, its definition, and importance in understanding vertex operator structures.
The Vector Spaces for Vertex Algebras
Explore key vector spaces for vertex algebras: polynomial rings, exterior algebras with infinite variables, and universal enveloping algebra of the Virasoro Lie algebra. Gain essential understanding for advanced algebraic studies.
A Gentle Description of a Vertex Algebra
Explore the concept of vertex algebra through associative, Lie, and Poisson algebras. Learn its definition and gain intuition for understanding its components in this mathematical journey.
Permutation Orbifolds of Vertex Operator Algebras
Explore permutation orbifolds in vertex operator algebras, delving into advanced algebraic structures and their applications in mathematical physics and string theory.
Some Example Calculations in the Heisenberg Vertex Algebra
Explore in-depth calculations within the Heisenberg vertex algebra, demonstrating advanced mathematical concepts and techniques in this specialized field of study.
The Genesis of Vertex Algebras
Explore the historical development of vertex algebras with Richard Borcherds, covering key concepts like Leech lattice, Dinkin diagrams, and string theory connections.
Vertex Algebras - The Non-Negative Products
Explore the structure of non-negative products in vertex algebras, delving into advanced mathematical concepts and their applications in algebraic theory.
Quivers, Curve Counting, and Fermionic Sums in Topology
Explore connections between quantum groups, vertex algebras, and quiver representations in topology. Discover how fermionic forms link these areas, shedding new light on enumerative geometry and curve counting.
Symmetric Closed Subsets of Real Affine Root Systems and Regular Su - Short Talk by Irfan Habib
Explores symmetric closed subsets of real affine root systems and their applications in representation theory, focusing on algebraic and combinatorial methods.
Abelianizations of Lie Algebras by Dynkin Combinatorics
Explore Dynkin combinatorics to understand abelianizations of Lie algebras, delving into advanced algebraic structures and their representations in modern mathematics.
Representations of Extended Affine Lie Algebras by Senapathi Eswara Rao
Explore representations of extended affine Lie algebras, delving into advanced algebraic structures and their applications in mathematical physics and quantum field theory.
From Faces of Weyl Polytopes, to Weights and Characters of Highest Weight Modules by Apoorva Khare
Explore connections between Weyl polytopes, weights, and characters in highest weight modules. Gain insights into algebraic and combinatorial methods in representation theory.
The Mystery and Magic of Component Tableaux by Anthony Joseph
Explore the intricacies of component tableaux in representation theory, uncovering their mysterious properties and magical applications in algebraic structures.
The Composition Tableau and Construction of the Canonical Weierstrass Section
Explore the composition tableau and canonical Weierstrass section construction in this advanced algebraic geometry lecture by Yasmine Fittouhi, part of a broader program on representation theory.
Representation Theory in Infinite-Dimensional Algebras
Explore advanced representation theory concepts in this talk by Deniz Kus, covering algebraic and combinatorial methods in infinite-dimensional Lie algebras and quantum groups.
Vertex Algebras and Associated Varieties - Lecture 2
Explore vertex algebras and associated varieties in this advanced lecture, delving into modern representation theory and its connections to mathematics and physics.