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.
Reihe
Auflage
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Für Beruf und Forschung
Research
Illustrationen
Maße
Höhe: 241 mm
Breite: 160 mm
Dicke: 30 mm
Gewicht
ISBN-13
978-3-7643-8283-4 (9783764382834)
DOI
10.1007/978-3-7643-8284-1
Schweitzer Klassifikation
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.