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＜E-Book＞
Arithmetic and Geometry Around Hypergeometric Functions : Lecture Notes of a CIMPA Summer School held at Galatasaray University, Istanbul, 2005 / edited by Rolf-Peter Holzapfel, Muhammed Uludag, M. Yoshida
(Progress in Mathematics. ISSN:2296505X ; 260)

Edition	1st ed. 2007.
Publisher	(Basel : Birkhäuser Basel : Imprint: Birkhäuser)
Year	2007
Language	English
Size	VIII, 437 p : online resource
Authors	Holzapfel, Rolf-Peter editor Uludag, Muhammed editor Yoshida, M editor SpringerLink (Online service)
Subjects	LCSH:Special functions LCSH:Algebraic geometry FREE:Special Functions FREE:Algebraic Geometry
Notes	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 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 are moduli spaces of points on P1 and Picard-Terada-Deligne-Mostow theory, moduli spaces of K3 surfaces, complex hyperbolic geometry, ball quotients, GKZ hypergeometric structures, Hilbert and Picard modular surfaces, uniformizations of complex orbifolds, algebraicity of values of Schwartz triangle functions, and Thakur's hypergeometric function. The book provides a background, gives detailed expositions and indicates new research directions. It is directed to postgraduate students and researchers HTTP:URL=https://doi.org/10.1007/978-3-7643-8284-1

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