Arithmetic and Geometry Around Hypergeometric Functions
Lecture Notes of a CIMPA Summer School held at Galatasaray University, Istanbul, 2005
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Beschreibung
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.
Presents reviewed and polished lecture notes, survey articles and original research results written by acknowledged experts in the field Contains a stimulating collection of open problems
Autor*in
Rolf-Peter Holzapfel
Themen in »Arithmetic and Geometry Around Hypergeometric Functions«
Hypergeometric function K3 surface Modular form differential equation hyperbolic geometry moduli space