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Author CIMPA Summer School (2005 : Galatasary University, Istanbul)

Title Arithmetic and geometry around hypergeometric functions : lecture notes of a CIMPA Summer School held at Galatasaray University, Istanbul, 2005 / Rolf-Peter Holzapfel, A. Muhammed Uludağ, Masaaki Yoshida, editors
Published Basel : Birkhäuser, [2007]
©2007
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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 / Rolf-Peter 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 Deligne-Mostow / Eduard Looijenga -- Invariant functions with respect to the Whitehead-link / 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 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
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, Rolf-Peter, 1942-
Uludağ, A. Muhammed.
Yoshida, Masaaki, 1948-
ISBN 376438283X (Cloth)
3764382848
9783764382834 (Cloth)
9783764382841