401-3177-67L  Introduction to Vertex Operator Algebras

SemesterAutumn Semester 2017
LecturersC. A. Keller
Periodicitynon-recurring course
Language of instructionEnglish


AbstractA first introduction to the theory of vertex operator algebras.
ObjectiveUnderstand the basic concepts of vertex operator algebras and their most important examples.
ContentTentative 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
LiteratureVictor Kac: Vertex Algebras for Beginners

James Lepowksy, Haisheng Li: Introduction to Vertex Operator Algebras and Their Representations
Prerequisites / NoticeBasic algebra and linear algebra. Some background in quantum mechanics is helpful, but not necessary.