Topological Quantum Field Theory Courses and Certifications

BIMSA

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.

• YouTube
• 50 minutes
• On-Demand
• Free Video

Isaac Newton Institute for Mathematical Sciences

Topological Quantum Field Theory - From Physics to Mathematics and Back

Explore the fascinating bridge between physics and mathematics through topological quantum field theory in this public lecture by Professor Ilka Brunner.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

BIMSA

Factorization Homology in Topological Quantum Field Theory

Explore factorization homology's role in organizing TQFT observables, understanding its construction with chain complexes and n-manifolds, and discovering its applications in quantum topology.

• YouTube
• 2 hours 20 minutes
• On-Demand
• Free Video

INI Seminar Room 2

Arithmetic (Topological) Quantum Field Theory

Explore arithmetic quantum field theory through topological methods with Professor Minhyong Kim in this advanced mathematical seminar on boundaries, impurities, and defects.

• YouTube
• 1 hour 26 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Mathematics of Topological Phases of Matter - Graduate Summer School 2021

Explore advanced mathematical foundations of topological phases, from quantum field theories to fractons and cellular automata in this comprehensive graduate program.

• YouTube
• 21 hours 18 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Combinatorial Topological Quantum Field Theories and Geometrical Applications

Explore combinatorial topological quantum field theories, focusing on partition functions, group representations, and integrality properties in character tables. Uncover connections between physics and mathematics.

• YouTube
• 55 minutes
• On-Demand
• Free Video

BIMSA

Alterfold Theory for TQFT and Topological Orders in All Dimensions

Explore alterfold theory for TQFT and topological orders across dimensions. Discover unified framework for representing concepts and generalizing results in intuitive ways.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

BIMSA

Higher Condensation Theory in Topological Orders

Explore a unified mathematical theory of defect condensations in topological orders across all dimensions, based on higher categories, algebras, and representations.

• YouTube
• 1 hour 13 minutes
• On-Demand
• Free Video

BIMSA

P-Form Symmetries in Functorial Quantum Field Theory

Explore p-form symmetries in functorial quantum field theory, focusing on implementing finite group global and gauged symmetries in TQFT using cohomology-decorated bordisms.

• YouTube
• 1 hour 10 minutes
• On-Demand
• Free Video

BIMSA

Gauge Fields and Categorification of Quantum Group Invariants of 3-Manifolds

Explore new link and 3-manifold invariants associated with Verma modules of U_q(sl_N), their properties, and potential categorification in 3-manifold homology.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Video

BIMSA

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.

• YouTube
• 54 minutes
• On-Demand
• Free Video

BIMSA

Weak Hopf Symmetry Behind the 2D Topological Phases

Delve into advanced quantum physics concepts exploring weak Hopf symmetry and its relationship to 2D topological phases, string-net models, and lattice gauge theory through mathematical frameworks.

• YouTube
• 57 minutes
• On-Demand
• Free Video

Harvard CMSA

Lattice Models and Topological Quantum Field Theories III

Explore advanced connections between lattice models and topological quantum field theories in this specialized mathematical physics workshop session.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video

Harvard CMSA

Lattice Models and Topological Quantum Field Theories I

Explore the relationship between gapped Hamiltonian lattice models and topological quantum field theories, emphasizing Kitaev's conjecture in this advanced mathematical physics workshop.

• YouTube
• 59 minutes
• On-Demand
• Free Video

Harvard CMSA

Lattice Models and Topological Quantum Field Theories II

Explore advanced connections between lattice models and topological quantum field theories in this specialized mathematical physics workshop.

• YouTube
• 53 minutes
• On-Demand
• Free Video