Arithmetic and Geometry Around Hypergeometric Functions: Lecture Notes of a Cimpa Summer School Held at Galatasaray University, Istanbul, 2005 (Hardcover, 2007)

Hyperbolic Geometry and the Moduli Space of Real Binary Sextics.- Gauss' Hypergeometric Function.- Moduli of K3 Surfaces and Complex Ball Quotients.- Macbeaths infinite series of Hurwitz groups.- Relative Proportionality on Picard and Hilbert Modular Surfaces.- Hypergeometric Functions and Carlitz Differential Equations over Function Fields.- The Moduli Space of 5 Points on ?1 and K3 Surfaces.- Uniformization by Lauricella Functions - An Overview of the Theory of Deligne-Mostow.- Invariant Functions with Respect to the Whitehead-Link.- On the Construction of Class Fields by Picard Modular Forms.- Algebraic Values of Schwarz Triangle Functions.- GKZ Hypergeometric Structures.- Orbifolds and Their Uniformization.- From the Power Function to the Hypergeometric Function.- Problem Session.