A reading seminar on Vertex Operator Algebras.

Coordinator: Alastair King (4W 3.46) a.d.king@bath.ac.uk

Time: Fridays 10:15 - 12:00. Place: 4W 1.7 (Wolfson LT).

Fri 9 Oct at 10:15 in 4W 1.7 |
Alastair KingIntroduction |

Fri 16 Oct at 10:15 in 4W 1.7 |
David CalderbankWhat is .. the Virasoro algebra |

Fri 23 Oct at 10:15 in 4W 1.7 |
Fran BurstallVOAs: computations and example(s) |

Fri 30 Oct at 10:15 in 4W 1.7 |
Fran BurstallThe free boson and the Sugawara construction |

Fri 6 Nov at 10:15 in 4W 1.7 |
David CalderbankRepresentation theory on Riemann surfaces |

Fri 13 Nov at 10:15 in 4W 1.7 |
Claudio OnoratiSegal's definition of CFT |

Fri 20 Nov at 10:15 in 4W 1.7 |
Leonard HardimanThe CIZ ADE classification |

Tue 1 Dec at 1:15 in CB 3.9 |
Gregory SankaranWhat is .. monstrous moonshine |

Fri 4 Dec at 10:15 in 4W 1.7 |
Joe KarmazynThe GKO coset construction |

Sources:

- R. Borcherds, "Vertex algebras, Kac-Moody algebras, and the Monster", Proc. Natl. Acad. Sci. USA. 83 (1986) 3068-3071.
- R. Borcherds, "What is a vertex algebra?", arXiv:q-alg/9709033
- I. Frenkel, J. Lepowsky, A. Meurman, "Vertex operator algebras and the Monster", Acad. Press 1988.
- E. Frenkel, D. Ben-Zvi, "Vertex algebras and Algebraic Curves", A.M.S. 2001.
- M. Gaberdiel, "An Introduction to Conformal Field Theory" arXiv:hep-th/9910156
- T. Gannon, "The Cappelli-Itzykson-Zuber A-D-E classification" arXiv:math/9902064
- T. Gannon, "Monstrous Moonshine and the classification of CFT" arXiv:math/9906167
- T. Gannon, "Monstrous Moonshine: The first twenty-five years" arXiv:math/0402345
- T. Gannon, "Moonshine Beyond the Monster: the Bridge Connecting Algebra, Modular Forms and Physics", CUP 2006.
- V. Kac, "Vertex algebras for beginners", AMS 1998.
- M.Schottenloher, "A Mathematical Introduction to Conformal Field Theory", Lecture Notes in Physics, Springer 2008.
- A. Wassermann, "Kac-Moody and Virasoro algebras", arXiv:1004.1287

Alastair King -- Mathematical Sciences -- University of Bath | Updated 12 Nov 2015 |