Topological Phases of Quantum Lattice Systems and Higher Berry Classes - Lecture 2
Explore advanced concepts in topological phases of quantum lattice systems, including higher Berry classes, SRE phases, and their classification using TQFT and homotopy groups.
Topological Phases of Quantum Lattice Systems and Higher Berry Classes - Lecture 1
Explore recent advances in classifying gapped lattice systems and their implications for quantum matter phases, focusing on Short-Range Entangled phases and higher Berry classes.
3D Modularity Revisited - Defect 3-Manifold Invariants and VOAs
Explore 3D modularity, defect 3-manifold invariants, and vertex operator algebras in this advanced mathematical lecture by Ioana Coman.
Non-semisimple TQFTs from 3D N=4 Quantum Field Theories - Part 1
Explore non-semisimple TQFTs from 3D supersymmetric field theories, examining their connections to quantum groups and vertex operator algebras in topological quantum field theory.
VOAs from Higher-Dimensional Quantum Field Theories - Lecture 3
Explorez les algèbres d'opérateurs vertex issues des théories quantiques des champs en dimensions supérieures et leurs liens avec d'autres domaines mathématiques.
VOAs from Higher-Dimensional Quantum Field Theories - Lecture 4
Explorez les algèbres d'opérateurs vertex issues des théories quantiques des champs en dimensions supérieures et leurs liens avec d'autres domaines mathématiques.
VOAs from Higher-Dimensional Quantum Field Theories - Part I
Explore vertex operator algebras from quantum field theories in 2-6 dimensions, focusing on connections to other mathematical branches.
VOAs from Higher-Dimensional Quantum Field Theories - Lecture 2
Explorez les algèbres d'opérateurs vertex issues des théories quantiques des champs en dimensions supérieures, en mettant l'accent sur leurs liens avec d'autres domaines mathématiques.
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.
Polynomial-Time Preparation of Low-Temperature Gibbs States for 2D Toric Code
Delve into quantum algorithms and mathematical techniques for preparing low-temperature Gibbs states in 2D toric code systems, focusing on polynomial-time computational methods.
Chern-Simons Field Theory Invariants - Knots, Links and Three-Manifolds - Part 1
Explore Chern-Simons field theory invariants and their applications to knots, links, and three-manifolds in this advanced mathematics lecture.
Chern-Simons Field Theory Invariants - Knots, Links and Three-Manifolds - Part 2
Explore advanced concepts in Chern-Simons field theory, focusing on invariants of knots, links, and three-manifolds in this continuation lecture.
Chern-Simons Field Theory Invariants - Knots, Links and Three-Manifolds - Part 3
Explore Chern-Simons field theory invariants, focusing on knots, links, and three-manifolds in this advanced mathematical lecture.
Chern-Simons Field Theory Invariants - Knots, Links and Three-Manifolds - Part 4
Explore Chern-Simons field theory invariants, focusing on knots, links, and three-manifolds in this advanced mathematics lecture by Ramadevi Pichai.
Chern-Simons Field Theory Invariants - Knots, Links and Three-Manifolds - Part 5
Explore Chern-Simons field theory invariants, focusing on knots, links, and three-manifolds in this advanced mathematics lecture by Ramadevi Pichai.
Topological Defect Lines and TQFTs
Explore topological defect lines and TQFTs with Associate Professor Babak Haghighat, delving into string theory, quantum field theory, and topological field theory concepts.
Alterfold Topological Quantum Field Theory
Explore the connection between injective ground states of gapped Hamiltonians and TQFT, bridging topological orders with constructive quantum field theory.
Entanglement and Holographic States in Chern-Simons Theory
Explore entanglement and holographic states in Chern-Simons theory, covering quantum concepts, complex topology, and information paradoxes.