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.
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.
Deformation of Representation and Fusion Rings for a Lie Algebra by Swarnava Mukhopadhyay
Explores deformation theory in representation and fusion rings of Lie algebras, discussing mathematical concepts and their applications in algebraic and combinatorial methods.
Unique Factorization for Tensor Products of Parabolic Verma Modules by V. Sathish Kumar
Explore unique factorization in tensor products of parabolic Verma modules, advancing understanding in algebraic representation theory and infinite-dimensional Lie algebras.
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.
Hypergroup Definition and Five Key Examples - Diffusion Symmetry 4
Explore finite commutative hypergroups through five key examples, including class and character hypergroups, distance-transitive graphs, double cosets, and automorphism orbits. Gain insights for applications in physics and chemistry.
Central Polynumbers and SL(2)/SU(2) Characters - Math Foundations 235
Explore a novel algebraic approach to SL(2) and SU(2) representation theory, emphasizing central polynumbers and mset arithmetic, with implications for Lie theory and modern physics.
Symmetric Functions: Foundations and Applications in Combinatorics - Part 1
Explore symmetric functions in algebraic combinatorics, representation theory, and statistical mechanics. Learn formulas, combinatorial models, and key properties with applications and open problems.
Symmetric Functions: Formulas, Combinatorial Models, and Applications - Part 2
Explore advanced concepts in symmetric functions, their applications in combinatorics and representation theory, and their role in statistical mechanics as partition functions.
Hypergeometric Functions, Galois Representations, and Modular Forms
Explore connections between hypergeometric functions, Galois representations, and modular forms in advanced number theory and algebraic geometry.
Limit Shapes for Random Young Tableaux via Determinantal Point Processes
Explore limit shapes for random Young tableaux using determinantal point processes. Discover new insights on limiting surfaces for multirectangular shapes, including potential discontinuities.
Jack Characters as Generating Series of Bipartite Maps and Proof of Lassalle's Conjecture
Explores Jack polynomials' connection to non-orientable map enumeration, presenting a formula for power-sum expansion and proving Lassalle's conjecture on Jack characters in Stanley's coordinates.
Support Varieties and the Tensor Product Property - Lecture
Explore support varieties in representation theory, focusing on tensor product properties and indecomposable periodic objects. Discover applications in finite groups and tensor categories.
G-modules: Stable Categories and Subcoalgebras - Lecture on Affine Group Scheme Representations
Explore affine group scheme representations, stable module categories, and support theory for G-modules. Discover filtrations associated with subcoalgebras of coordinate algebras in this advanced mathematics lecture.
Induced Functors on Drinfeld Centers via Monoidal Adjunctions
Explore induced functors on Drinfeld centers through monoidal adjunctions, examining their compatibility with braiding and preservation of commutative objects in tensor categories.
Chinese Remainder Theorem and Carlson's Theorem for Monoidal Triangulated Categories
Explore Carlson's connectedness theorem generalization for monoidal triangulated categories, including a Chinese remainder theorem version and Balmer support properties.
Stable Module Category for Finite Group Schemes over Commutative Noetherian Rings
Explore finite group schemes, tensor triangular analysis, and Balmer spectrum calculations in stable module categories, based on recent advancements in cohomology and representation theory.
Interpolation Categories for Finite Linear Groups
Exploration of representation stability for complex representations of finite linear groups, focusing on interpolation categories and their applications in algebraic geometry.
Vector Delannoy Categories and Further Developments
Exploration of quantum analogues of Delannoy categories, focusing on constructions, properties, and connections to related mathematical concepts in symmetric tensor categories.
Pre-Galois Categories and Discrete Categories - Lecture on Symmetric Tensor Categories
Exploration of symmetric tensor categories, oligomorphic groups, and their connections, with insights into potential classification methods in representation theory.
Oligomorphic Groups and Tensor Categories
Explore oligomorphic groups and tensor categories, focusing on joint work attaching symmetric tensor categories to oligomorphic groups with measures, leading to new and interesting mathematical discoveries.