Christoph Andreas Keller: Catalogue data in Autumn Semester 2017 |
| Name | Prof. Dr. Christoph Andreas Keller |
| URL | http://www.math.ethz.ch/~kellechr |
| Department | Mathematics |
| Relationship | Assistant Professor |
| Number | Title | ECTS | Hours | Lecturers | |
|---|---|---|---|---|---|
| 401-3177-67L | Introduction to Vertex Operator Algebras  | 4 credits | 2V | C. A. Keller | |
| 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. | ||||
| 401-5330-00L | Talks in Mathematical Physics | 0 credits | 1K | A. Cattaneo, G. Felder, G. M. Graf, C. A. Keller, H. Knörrer, T. H. Willwacher, University lecturers | |
| Abstract | Research colloquium | ||||
| Objective | |||||