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.
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