Spring, 2002

Spring, 2002

  • Speaker Liz Jurisich, College of Charleston
    • Title The monster Lie algebra, Moonshine and generalized Kac-Moody algebras
    • Time/place Friday, 2/8/2002 3:00 pm in Hill 705
    • Abstract

  • Speaker Benjamin Doyon, Physics Department, Rutgers University
    • Title Vertex Operator Algebras and the Zeta function
    • Time/place Friday, 3/8/2002 3:00 pm in Hill 705
    • Abstract

  • Speaker Gordon Ritter, Harvard University
    • Title Montonen-Olive Duality in Yang-Mills Theory
    • Time/place Friday, 3/15/2002 3:00 pm in Hill 705
    • Abstract

  • Speaker Sergei Lukyanov, Physics Department, Rutgers University
    • Title Once again about Bethe Ansatz
    • Time/place Friday, 3/29/2002 3:00 pm in Hill 705
    • Abstract We shall discuss an intriguing relation between roots of the Bethe ansatz equations corresponding to vacuum states of the XXZ spin chain and the spectrum of one-dimensional Schrödinger operator with homogeneous potential.

  • Speaker Yi-Zhi Huang, Rutgers University
    • Title Differential equations and intertwining operators
    • Time/place Friday, 5/3/2002 3:00 pm in Hill 705
    • Abstract In the conformal field theories associated to affine Lie algebras (the Wess-Zumino-Novikov-Witten models) and to Virasoro algebras (the minimal models), the Knizhnik-Zamolodchikov equations and the Belavin-Polyakov-Zamolodchikov equations, respectively, play a fundamental role. Many important results (for example, the constructions of braided tensor category structures and intertwining operator algebras) for these theories are obtained using these equations.
            In this talk, I will explain a recent result which establishes the existence of certain different equations of regular singular points satisfied by products and iterates of intertwining operators for a vertex operator algebra whose modules satisfy a certain finiteness condition. Immediate applications of these equations are a construction of braided tensor categories on the category of modules for the vertex operator algebra and a construction of intertwining operator algebras (or chiral genus-zero conformal field theories) from irreducible modules for the vertex operator algebra.