Introduction to Vertex Operator Algebras Autumn 2017

Prof. Dr. Christoph Keller
Thomas Gemünden

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


Basic algebra and linear algebra. Some background in quantum mechanics is helpful, but not necessary.

Lecture notes

Examples will be discussed during the lectures. There are no separate exercise classes.

On October 25 and November 1 there will be discussion sessions on modular forms and conformal symmetry, respectively. Please prepare by working through the following exercise sheets: