Modular Tensor Categories, Quantum Groups and Vertex Algebras - Lecture 1
Explore modular tensor categories, focusing on nonsemisimple theory. Gain insights into these mathematical structures and their connections to quantum symmetries and algebraic concepts.
Braided Fusion Categories - Lecture 5: Witt Equivalence and Categorical Witt Group
Explore advanced concepts in braided fusion categories, including gauging, Picard groups, Witt equivalence, and categorical Witt groups. Suitable for graduate-level mathematics students.
Braided Fusion Categories - Lecture 4
Explore algebraic theory of semisimple braided tensor categories, covering properties, examples, centralizers, equivariantizations, gauging, and Witt equivalence. Suitable for graduate students.
Braided Fusion Categories - Lecture 2
Explore algebraic theory of semisimple braided tensor categories, covering structure, classification, and applications in quantum symmetries and topological quantum field theories.
Braided Fusion Categories - Lecture 1
Explore semisimple braided tensor categories, their structure, and classification. Learn about centralizers, non-degeneracy, equivariantizations, gauging, and Witt equivalence in fusion categories.
Duality, Onsager Algebra and Ising-Type Structures in Root-of-Unity Six-Vertex Models
Explore duality, Onsager algebra, and Ising-type structures in root-of-unity six-vertex models. Uncover connections between quantum group representations and symmetries in integrable systems.
The Center of the Small Quantum Group and Affine Springer Fibers
Explore representation theory through quantum groups and affine Springer fibers, focusing on the center of small quantum groups.
Spark Algebras and Quantum Groups
Explore representation theory through spark algebras and quantum groups, focusing on quantum topology concepts.
Infinitesimal Braidings and Pre-Cartier Bialgebras
Explore infinitesimal braidings and pre-Cartier bialgebras in this advanced mathematical physics seminar, delving into complex algebraic structures and their applications.
Bethe Equations and 2D Conformal Field Theory
Explore Bethe equations and their connection to 2D conformal field theory in this advanced mathematical physics seminar.
Integrable Systems and Representation Theory: Between Geometry, Algebra and Analysis
Explore integrable systems in Hamiltonian mechanics, quantum systems, and statistical mechanics. Examine connections to representation theory and gauge theory quantization.
Extensions of Discrete Toda Lattices and their Applications - Lecture 3
Delve into advanced mathematical concepts of discrete Toda lattices, exploring integrable systems, difference equations, and their applications in theoretical physics and mathematics.
A Lévy-Khintchine Formula for SUq(N)
Explore the Lévy-Khintchine formula for SUq(N) in quantum mathematics, delving into advanced concepts and their applications in mathematical physics.
Some Quantum Spaces Which Are Not Quantum Groups
Explore non-quantum group quantum spaces, delving into advanced mathematical concepts and their applications in quantum theory.
Modular Invariants of Compact Quantum Groups
Explore modular invariants of compact quantum groups, delving into advanced mathematical concepts and their applications in quantum theory.
Compact and Discrete Quantum Groups
Explore compact and discrete quantum groups, delving into advanced mathematical concepts with expert Piotr M. Sołtan from the University of Warsaw.
Quantum Symmetry via Quantum Geometry of Moduli Spaces
Explore quantum symmetry through moduli spaces of flat G-bundles, examining cluster Poisson structures and their quantization to uncover connections with quantum groups and representations.
Equivariant K-theory Realization of the Affine i-Quantum Group
Explore equivariant K-theory's role in realizing affine i-quantum groups, focusing on type C generalizations and constructing simple/standard modules.
Cubic Dirac Operator for U_q(sl_2)
Explore quantum group theory and cubic Dirac operators, focusing on U_q(sl_2) generalization. Gain insights into special linear algebra sl(2) and its quantum counterparts.
Extensions of Discrete Toda Lattices and their Application to Box-Ball Systems
Delve into discrete integrable systems, exploring Toda lattices, box-ball systems, and their mathematical applications through advanced theoretical physics and mathematical frameworks.
Colored Vertex Models, Orthogonal Functions and Probability - Lecture 1
Explore the intersection of colored vertex models, orthogonal functions, and probability theory through advanced mathematical concepts in discrete integrable systems and statistical physics.