This volume comprises lecture notes, survey and research articles originating from the CIMPA Summer School Arithmetic and Geometry around Hypergeometric Functions held at Galatasaray University, Istanbul, June 13-25, 2005. It covers a wide range of topics related to hypergeometric functions, thus giving a broad perspective of the state of the art in the field.
Inhaltsverzeichnis
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.