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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

Part of the Progress in Mathematics book series (PM, volume 260)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Daniel Allcock, James A. Carlson, Domingo Toledo
    Pages 1-22
  3. Frits Beukers
    Pages 23-42
  4. Igor V. Dolgachev, Shigeyuki Kondō
    Pages 43-100
  5. Amir Džambić
    Pages 101-108
  6. Hironori Shiga, Jürgen Wolfart
    Pages 287-312
  7. Jan Stienstra
    Pages 313-371
  8. A. Muhammed Uludağ
    Pages 373-406
  9. Celal Cem Sarıoğlu
    Pages 431-437

About this book

Introduction

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.

Keywords

Hypergeometric function K3 surface Modular form differential equation hyperbolic geometry moduli space

Editors and affiliations

  • Rolf-Peter Holzapfel
    • 1
  • A. Muhammed Uludağ
    • 2
  • Masaaki Yoshida
    • 3
  1. 1.Institut für MathematikHumboldt-Universität zu BerlinBerlin
  2. 2.Department of MathematicsGalatasaray UniversityBesiktas, IstanbulTurkey
  3. 3.Department of MathematicsKyushu UniversityFukuokaJapan

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-7643-8284-1
  • Copyright Information Birkhäuser Verlag AG 2007
  • Publisher Name Birkhäuser Basel
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-7643-8283-4
  • Online ISBN 978-3-7643-8284-1
  • Series Print ISSN 0743-1643
  • Series Online ISSN 2296-505X
  • Buy this book on publisher's site
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