Title: Quantum representations of braid groups and holonomy Lie algebras
Abstract: <!-- *** Custom HTML *** --> We review various aspects of representations of the holonomy Lie algebras and the associated monodromy representations of the fundamental groups for the complement of hyperplane arrangements. In particular, we describe the relation between monodromy representations of the KZ equation and homological representations of the braid groups by means of hypergeometric integrals.