Topological Quantum Field Theory Courses and Certifications

Harvard CMSA

A Categorification of Quinn's Finite Total Homotopy TQFT with Application to TQFTs and Once-Extended TQFTs Derived from Discrete Higher Gauge Theory

Explore advanced categorification of Quinn's finite total homotopy TQFT, extending to once-extended versions using groupoids and linear profunctors for discrete higher gauge theory applications.

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

Harvard CMSA

On the Categorical Spectrum of Topological Quantum Field Theories

Explore the categorical spectrum framework for topological quantum field theories, connecting invertible TQFTs to generalized homology theory and anomaly boundaries.

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

Harvard CMSA

Moduli Spaces of Projective 3D TQFTs

Explore moduli spaces of 3D topological quantum field theories and their connection to gapped quantum systems through homotopy theory and ribbon category automorphisms.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

ICTP-SAIFR

TQFT as Error-Correcting Codes

Explore the fascinating connection between topological quantum field theory and quantum error correction in this advanced physics lecture.

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

Harvard CMSA

Lattice Models and Topological Quantum Field Theories IV

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

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Video

BIMSA

From Link Homology to Topological Quantum Field Theories

Explore the mathematical connections between link homology and topological quantum field theories in this advanced mathematical physics lecture.

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

M-Seminar, Kansas State University

Non-semisimple TQFTs from 3D N=4 Quantum Field Theories - Part 3

Explore non-semisimple TQFTs from 3D N=4 quantum field theories, examining their connections to quantum groups and vertex operator algebras in topological quantum field theory.

• YouTube
• 1 hour 36 minutes
• On-Demand
• Free Video

M-Seminar, Kansas State University

Non-semisimple TQFTs from 3D N=4 Quantum Field Theories - Part 2

Explore non-semisimple TQFTs from 3D supersymmetric field theories, examining connections to quantum groups and vertex operator algebras in topological quantum field theory.

• YouTube
• 1 hour 12 minutes
• On-Demand
• Free Video

NCCR SwissMAP

Surface Observables in 4D BF - 2 Knot Invariants and Nonabelian Electric Fluxes

Explore surface observables in 4D BF theory and their connections to 2-knot invariants and nonabelian electric fluxes in this advanced topology lecture.

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

Simons Foundation

From Link Homology to Topological Quantum Field Theories

Explore the connection between link homology and topological quantum field theories, examining how Khovanov's categorification of the Jones polynomial relates to higher-dimensional TQFTs.

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

Kavli Institute for Theoretical Physics

Topological Lines Supported on Gapless Boundaries of 3D TQFTs

Delve into topological lines on gapless boundaries of 3D TQFTs with Brandon Rayhaun's theoretical physics lecture from the Generalized Symmetries conference at KITP.

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

BIMSA

A Target for Ribbon 2-Functors

Explore ribbon tensor 2-categories and their role in 4D topological quantum field theories through derived higher-gauge theory and cobraided dagger Hopf categories.

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

INI Seminar Room 2

Gauging Non-Invertible Symmetries in 2+1D TQFTs

Explore non-invertible symmetries in 2+1 dimensional topological quantum field theories and their gauging procedures through advanced mathematical physics.

• YouTube
• 1 hour 24 minutes
• On-Demand
• Free Video

Fields Institute

Lax-Kirchhoff Moduli Spaces and Hamiltonian 2D TQFT

Explore Lax-Kirchhoff moduli spaces and their connection to Hamiltonian 2D topological quantum field theory in this advanced mathematical lecture.

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

Institute for Advanced Study

TQFT Gravity and Sum over Topologies

Explore topological quantum field theory gravity through summing 3D TQFT over bulk topologies, examining holographic duality with boundary ensembles and pure quantum gravity.

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