- Lecturer
- Prof. Dr. Christoph Keller
- Coordinators
- 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.

- Official summary - final version (updated: 14.12.2017)

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:

- Vertex Algebras for Beginners by Victor Kac (American Mathematical Society 1998)
- Introduction to Vertex Operator Algebras and Their Representations by J. Lepowsky and H. Li (Birkhäuser Boston 2004)