Arithmetic and geometry around hypergeometric functions : lecture notes of a CIMPA Summer School held at Galatasaray University, Istanbul, 2005

Bibliographic Information

Arithmetic and geometry around hypergeometric functions : lecture notes of a CIMPA Summer School held at Galatasaray University, Istanbul, 2005

Rolf-Peter Holzapfel, A. Muhammed Uludaǧ, Masaaki Yoshida, editors

(Progress in mathematics, v. 260)

Birkhäuser, c2007

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Includes bibliographical references

Description and Table of Contents

Description

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.

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.

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