Vertex Operator Algebras Courses and Certifications

Hausdorff Center for Mathematics

The Representation Theory of Vertex Operator Algebras, Conformal Bootstrap and Segal's Axioms

Explore vertex operator algebras' representation theory and its role in constructing conformal field theories, covering conformal bootstrap, Segal's axioms, and Liouville theory.

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

Centre de recherches mathématiques - CRM

Extensions of Vertex Operator Algebras and Applications to Integrable Systems II

Explore advanced vertex operator algebra extensions and their connections to quantum groups, integrable systems, and the geometric Langlands program through tensor category techniques.

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

Centre de recherches mathématiques - CRM

Extensions of Vertex Operator Algebras and Applications to Integrable Systems I

Explore vertex operator algebra extensions and their deformations, connecting quantum groups, tensor categories, and integrable systems with applications to critical level algebras.

• YouTube
• 1 hour 16 minutes
• On-Demand
• Free Video

INI Seminar Room 2

Conformal Blocks from Vertex Operator Algebras

Explore the mathematical foundations of conformal blocks, their construction from vertex operator algebras, and their properties in relation to moduli spaces of curves with marked points.

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

Harvard CMSA

Cohomological Varieties Associated to Vertex Operator Algebras

Delve into advanced mathematical concepts exploring cohomological varieties in vertex operator algebras, focusing on representation theory and associated schemes in algebraic geometry.

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

BIMSA

From Segal's Sewing to Pseudo-q-Traces and Back

Delve into advanced vertex operator algebra theory, exploring connections between Segal's sewing construction, pseudo-q-traces, and torus conformal blocks in quantum field theory mathematics.

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

Michael Penn

Permutation Orbifolds of Vertex Operator Algebras

Explore permutation orbifolds in vertex operator algebras, delving into advanced algebraic structures and their applications in mathematical physics and string theory.

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

Centre de recherches mathématiques - CRM

Extensions of Affine Algebra Vertex Operator Algebras

Explore extensions of affine algebra VOAs, focusing on V(g,k) for simple Lie algebras. Learn about finite-index extensions, simple currents, and quantum subgroups in module category classification.

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

Centre de recherches mathématiques - CRM

Fermionic Forms in Logarithmic Vertex Operator Algebras and BPS Quivers

Explore connections between quantum groups, vertex algebras, and quiver representations. Uncover new insights into fermionic forms and their applications in representation theory and enumerative geometry.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Video

Kyoto-U OCW - Unofficial

Vertex Operator Algebras and Integrable Systems - Lecture 2

Delve into advanced mathematical concepts of vertex operator algebras, screening methods, W-algebras, and their applications in geometric Langlands theory and integrable systems with Boris Feigin.

• YouTube
• 2 hours 38 minutes
• On-Demand
• Free Video

Fields Institute

3D Boundary Vertex Operator Algebras and Higgs Branches

Delve into advanced mathematical physics concepts exploring the relationship between 3D boundary vertex operator algebras and Higgs branches in quantum field theory.

• YouTube
• 1 hour 49 minutes
• On-Demand
• Free Video

Vertex Operator Algebras

Explore the foundations and applications of vertex algebras, from basic concepts to advanced topics like Heisenberg algebra and permutation orbifolds.

• YouTube
• 5 hours
• On-Demand
• Free Video

ICTP Mathematics

Invariants of Manifolds From 6 Dimensions

Explore invariants of 6-dimensional manifolds, covering vector spaces, complex numbers, and vertex operator algebras. Delve into state field correspondence and multi-dimensional environments.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Video

BIMSA

Operator Algebras, Bi-Unitary Connections and Tensor Networks - Lecture 4

Explore tensor categories as quantum symmetries, using Jones subfactor theory and bi-unitary connections to study 2D topological order and tensor networks.

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

BIMSA

Operator Algebras, Bi-Unitary Connections and Tensor Networks - Lecture 2

Explore tensor categories as quantum symmetries, using Jones subfactor theory and bi-unitary connections to study 2D topological order and tensor networks.

• YouTube
• 1 hour 42 minutes
• On-Demand
• Free Video