Thomas Creutzig: Vertex Operator Algebras, VI. Finiteness conditions (Zhu’s algebra and associated varieties) and their implications to representation theory 1

In This Lecture Course

• Thomas Creutzig: Vertex Operator Algebras, I. Formal calculus and definition of VOA, modules, fields and intertwiners 1
• Thomas Creutzig: Vertex Operator Algebras, II. Formal calculus and definition of VOA, modules, fields and intertwiners 2
• Thomas Creutzig: Vertex Operator Algebras, III. Formal calculus and definition of VOA, modules, fields and intertwiners 3
• Thomas Creutzig: Vertex Operator Algebras, IV. Illustrating these in the simplest examples of free field theories ‐ free boson, free fermion, symplectic boson and symplectic fermion 1
• Thomas Creutzig: Vertex Operator Algebras, V. Illustrating these in the simplest examples of free field theories ‐ free boson, free fermion, symplectic boson and symplectic fermion 2
• Thomas Creutzig: Vertex Operator Algebras, VI. Finiteness conditions (Zhu’s algebra and associated varieties) and their implications to representation theory 1
• Thomas Creutzig: Vertex Operator Algebras, VII. Finiteness conditions (Zhu’s algebra and associated varieties) and their implications to representation theory 2
• Thomas Creutzig: Vertex Operator Algebras, VIII. Affine Lie algebras and WZW theories with a focus on admissible levels 1
• Thomas Creutzig: Vertex Operator Algebras, IX. Affine Lie algebras and WZW theories with a focus on admissible levels 2
• Thomas Creutzig: Vertex Operator Algebras, X. Affine Lie algebras and WZW theories with a focus on admissible levels 3
• Thomas Creutzig: Vertex Operator Algebras, XI. Affine Lie algebras and WZW theories with a focus on admissible levels 4
• Thomas Creutzig: Vertex Operator Algebras, XII. Affine Lie algebras and WZW theories with a focus on admissible levels 5
• Thomas Creutzig: Vertex Operator Algebras, XIII. W‐algebras 1
• Thomas Creutzig: Vertex Operator Algebras, XIV. W‐algebras 2
• Thomas Creutzig: Vertex Operator Algebras, XVI. Cosets and Orbifolds 2
• Thomas Creutzig: Vertex Operator Algebras, XV. Cosets and Orbifolds 1
• Thomas Creutzig: Vertex Operator Algebras, XVII. VOAs in physics, geometry and topology 1
• Thomas Creutzig: Vertex Operator Algebras, XVIII. VOAs in physics, geometry and topology 2
• Thomas Creutzig: Vertex Operator Algebras, XX. VOAs in physics, geometry and topology 4
• Thomas Creutzig: Vertex Operator Algebras, XIX. VOAs in physics, geometry and topology 3