Seminar: Vertex operator algebras and related topics

    We meet on Mondays at 2pm in KAP 245.
    • September 17. Basic representation theory: sl(2)
    • September 24. Basic representation theory: sl(n) and other Kac-Moody Lie algebras
    • October 1. Quantum affine algebras
    • October 15. Quantum Heisenberg algebras
    • October 22. Quantum affine algebras revisited (the simplified loop presentation)
    • October 29. Fock spaces and the basic representation
    • November 12. The Frenkel-Kac-Segal construction
    • December 3. Vertex operator algebras (definitions and examples)

    I will try to keep some ongoing notes for the seminar.
    Here is a list of other possible references we could use.
    • Two-dimensional conformal field theory and vertex operator algebras, by Y-Z. Huang.
    • Vertex operator algebras and the monster (volume 134), by I. Frenkel, J. Lepowsky and A. Meurman.
    • Vertex algebras and algebraic curves, by E. Frenkel and D. Ben-Zvi.