Arithmetic and Geometry Around Hypergeometric Functions Lecture Notes of a CIMPA Summer School held at Galatasaray University, Istanbul, 2005 /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Holzapfel, Rolf-Peter (Editor), Uludağ, A. Muhammed (Editor), Yoshida, Masaaki (Editor)
• Format: Electronic eBook
• Language: English
• Published: Basel : Birkhäuser Basel, 2007.
• Series: Progress in Mathematics ; 260
• Subjects: Mathematics.; Algebraic geometry.; Special functions.; Special Functions.; Algebraic Geometry.

This volume comprises the Lecture Notes of the CIMPA Summer School "Arithmetic and Geometry around Hypergeometric Functions" held at Galatasaray University, Istanbul in 2005. It contains lecture notes, a survey article, research articles, and the results of a problem session. Key topics ar...

Table of Contents:

• 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.