09/07/2002, 14:30 — 15:30 — Amphitheatre Ea2, North Tower, IST
Alexander Varchenko, North Carolina
Arrangements, Hypergeometric Functions, and KZ-Type Equations - III
Conformal blocks in conformal field theory and their
quantizations are solutions of Knizhnik-Zamolodchikov differential
and difference equations. The geometric version of these objects is
multidimensional hypergeometric functions and hypergeometric
equaitons. The interrelations of these subjects, the theory of
solvable models in statistical mechanics, and representation theory
will be discussed.
The course will be elementary and accessible to graduate
students and advanced undergraduate students.