Description 
1 online resource (viii, 437 pages) : illustrations 
Series 
Progress in mathematics ; v. 260 

Progress in mathematics (Boston, Mass.) ; v. 260

Contents 
Hyperbolic geometry and the moduli space of real binary sextics / Daniel Allcock, James A. Carlson and Domingo Toledo  Gauss' hypergeometric function / Frits Beukers  Moduli of K3 surfaces and complex Ball quotiens / Igor V. Dolgachev and Shigeyuki Kondō  Macbeaths infinite series of Hurwitz groups / Amir Džambić  Relative proportionality on Picard and Hilbert modular surfaces / RolfPeter Holzapfel  Hypergeometric functions and Carlitz differential equations / Anatoly N. Kochubei  The moduli space of 5 points in P¹ and K3 surfaces / Shigeyuki Kondō  Uniformization by Lauricella functions  an overview of the theory of DeligneMostow / Eduard Looijenga  Invariant functions with respect to the Whiteheadlink / Keiji Matsumoto  On the construction of class fields by Picard modular forms / Thorsten Riedel  Algebraic values of Schwarz triangle functions / Hironori Shiga and Jürgen Wolfart  GKZ hypergeometric structures / Jan Stienstra  Orbifolds and their uniformization / A. Muhammed Uludağ  From the power function to the hypergeometric function / Masaaki Yoshida  Problem session / Celal Cem Sarıoğlu (ed.) 
Summary 
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 PicardTeradaDeligneMostow 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 
Notes 
Lectures 
Bibliography 
Includes bibliographical references 
Notes 
Print version record 
Subject 
Algebra  Congresses.


Geometry, Algebraic  Congresses.


Number theory  Congresses.

Genre/Form 
Conference papers and proceedings.


Conference papers and proceedings.

Form 
Electronic book

Author 
Holzapfel, RolfPeter, 1942


Uludağ, A. Muhammed.


Yoshida, Masaaki, 1948

ISBN 
376438283X (Cloth) 

3764382848 

9783764382834 (Cloth) 

9783764382841 
