401-3177-67L Introduction to Vertex Operator Algebras
Semester | Autumn Semester 2017 |
Lecturers | C. A. Keller |
Periodicity | non-recurring course |
Language of instruction | English |
Abstract | A first introduction to the theory of vertex operator algebras. |
Objective | Understand the basic concepts of vertex operator algebras and their most important examples. |
Content | Tentative plan: 1) Formal power series, local fields 2) Vertex Algebras 3) Conformal symmetry 4) Vertex Operator Algebras 5) Correlation functions 6) VOAs from lattices 7) Connection to modular forms: Zhu's Theorem 8) Connection to Monstrous Moonshine |
Literature | Victor Kac: Vertex Algebras for Beginners James Lepowksy, Haisheng Li: Introduction to Vertex Operator Algebras and Their Representations |
Prerequisites / Notice | Basic algebra and linear algebra. Some background in quantum mechanics is helpful, but not necessary. |