Combinatorics of Covers of Complexified Hyperplane Arrangements -- Homological Aspects of Hyperplane Arrangements -- Pencils of Plane Curves and Characteristic Varieties -- Lectures on Orlik-Solomon Algebras -- Local Systems and Constructible Sheaves -- Geometry and Combinatorics of Resonant Weights -- The Characteristic Quasi-Polynomials of the Arrangements of Root Systems and Mid-Hyperplane Arrangements -- Toric Varieties and the Diagonal Property -- to Plane Curve Singularities. Toric Resolution Tower and Puiseux Pairs -- Surface Singularities Appeared in the Hyperbolic Schwarz Map for the Hypergeometric Equation -- On the Extendability of Free Multiarrangements -- Problem Session.

This volume comprises the Lecture Notes of the CIMPA/TUBITAK Summer School Arrangements, Local systems and Singularities held at Galatasaray University, Istanbul during June 2007. The volume is intended for a large audience in pure mathematics, including researchers and graduate students working in algebraic geometry, singularity theory, topology and related fields. The reader will find a variety of open problems involving arrangements, local systems and singularities proposed by the lecturers at the end of the school.