Arithmetic and Geometry Around Hypergeometric Functions (eBook, PDF)

Lecture Notes of a CIMPA Summer School held at Galatasaray University, Istanbul, 2005
Redaktion: Holzapfel, Rolf-Peter; Yoshida, M.; Uludag, Muhammed

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Springer Basel
• Seitenzahl: 437
• Erscheinungstermin: 28. Juni 2007
• Englisch
• ISBN-13: 9783764382841
• Artikelnr.: 37397725

Autorenporträt

Rolf-Peter Holzapfel, Humboldt University Berlin, Germany / Muhammed Uludag, Galatasaray University, Istanbul, Turkey / M. Yoshida, Kyushu University, Fukuoka, Japan

Inhaltsangabe

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.