Topics in Geometry

MA6000P (Graduate Course) : Topics in Geometry

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 King Introduction
Fri 16 Oct at 10:15 in 4W 1.7	David Calderbank What is .. the Virasoro algebra
Fri 23 Oct at 10:15 in 4W 1.7	Fran Burstall VOAs: computations and example(s)
Fri 30 Oct at 10:15 in 4W 1.7	Fran Burstall The free boson and the Sugawara construction
Fri 6 Nov at 10:15 in 4W 1.7	David Calderbank Representation theory on Riemann surfaces
Fri 13 Nov at 10:15 in 4W 1.7	Claudio Onorati Segal's definition of CFT
Fri 20 Nov at 10:15 in 4W 1.7	Leonard Hardiman The CIZ ADE classification
Tue 1 Dec at 1:15 in CB 3.9	Gregory Sankaran What is .. monstrous moonshine
Fri 4 Dec at 10:15 in 4W 1.7	Joe Karmazyn The 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

Updated 12 Nov 2015