Topological Quantum Field Theory Courses and Certifications

Fields Institute

TQFTs and the Renaissance of the Algebraic Topology of Manifolds

Explore the resurgence of algebraic topology in manifold studies, focusing on Topological Quantum Field Theories and their impact on modern mathematical research.

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

Galileo Galilei Institute

A Skein Theoretic Approach to CFT Correlators - Part 3

Explore advanced skein theoretic techniques for analyzing conformal field theory correlators in this in-depth mathematical physics lecture.

• YouTube
• 1 hour 45 minutes
• On-Demand
• Free Video

Galileo Galilei Institute

A Skein Theoretic Approach to CFT Correlators - Part 2

Explore skein theoretic approaches to CFT correlators in this advanced physics lecture, delving into mathematical techniques for analyzing quantum field theories.

• YouTube
• 1 hour 47 minutes
• On-Demand
• Free Video

Galileo Galilei Institute

State Sum Homotopy QFTs

Explore state sum homotopy quantum field theories with Alexis Virelizier, delving into advanced mathematical concepts and their applications in theoretical physics.

• YouTube
• 1 hour 17 minutes
• On-Demand
• Free Video

Galileo Galilei Institute

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.

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

Galileo Galilei Institute

Exponential Networks and DT Invariants

Explore exponential networks and Donaldson-Thomas invariants in this advanced mathematics lecture, delving into complex algebraic structures and topological insights.

• YouTube
• 1 hour 16 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

Institut des Hautes Etudes Scientifiques (IHES)

Quantum Chern-Simons Theory: Real and Complex Formulations - Lecture 3

Explore WRT invariants, Resurgence conjecture, and Teichmüller TQFT in quantum Chern-Simons theory, with detailed examples and new formulations.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Quantum Chern-Simons Theory: Real and Complex Formulations - Lecture 2/3

Explore Quantum Chern-Simons Theory, covering WRT invariants, Resurgence conjecture, and Teichmüller TQFT, with detailed examples and discussions.

• YouTube
• 1 hour 14 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Topological Phases of Quantum Lattice Systems and Higher Berry Classes - Lecture 3

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.

• YouTube
• 1 hour 46 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Global Lie Theory: Wild Riemann Surfaces and Their Character Varieties

Explore the evolution of topological symplectic structures, wild Riemann surfaces, and character varieties in global Lie theory. Discover connections to quantum groups, hyperkähler geometry, and integrable systems.

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

Institut des Hautes Etudes Scientifiques (IHES)

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.

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

Institut des Hautes Etudes Scientifiques (IHES)

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.

• YouTube
• 1 hour 34 minutes
• On-Demand
• Free Video

ICTP-SAIFR

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.

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

Institut Henri Poincaré

Operads and the Blob Complex in Topological Quantum Field Theory

Explorez la théorie des opérades et le complexe blob en TQFT, en examinant la résolution de barre opéradique et les catégories opéradiques unaires.

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