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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• Free Video

NCCR SwissMAP

Introduction to Topological Field Theory - Master Class in Mathematical Physics 2019-2020

Explore the mathematical foundations and applications of topological field theory in this comprehensive 12-hour master class from NCCR SwissMAP.

• YouTube
• 12 hours 1 minute
• Self-Paced
• Free Video

Institute for Advanced Study

Non-Invertible Symmetries, Boundary Conditions, and Topological Field Theory

Explore non-invertible symmetries and boundary conditions in quantum field theories, focusing on 1+1d conformal field theories and their applications in various physics phenomena.

• YouTube
• 1 hour 17 minutes
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• Free Video

BIMSA

Generalized Spin-Statistics Theorem for Loop Excitations

Explore an extended spin-statistics theorem for loops using Klein bottle representation. Examine new solvable lattice models for topological phases and fermionic loop excitations in higher dimensions.

• YouTube
• 1 hour 2 minutes
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• Free Video

Max Planck Science

Statistical Manifolds and F-Manifold Structure in Exponential Families

Explore statistical manifolds' F-manifold structure, connecting information geometry to Frobenius manifolds and revealing rich algebraic and geometrical properties.

• YouTube
• 17 minutes
• Self-Paced
• Free Video