TY - BOOK ID - 36756110 TI - Arithmetic and geometry around hypergeometric functions : lecture notes of a CIMPA Summer School held at Galatasaray University, Istanbul, 2005 AU - Holzapfel, Rolf-Peter AU - Uludag, A. Muhammed. AU - Yoshida, Masaaki AU - Summer School on Arithmetic and Geometry around Hypergeometric Functions PY - 2007 SN - 376438283X 9786610944217 1280944218 3764382848 PB - Basel ; Boston : Birkhauser, DB - UniCat KW - Mathematics. KW - Algebraic geometry. KW - Special functions. KW - Special Functions. KW - Algebraic Geometry. KW - Math KW - Science KW - Special functions KW - Mathematical analysis KW - Algebraic geometry KW - Geometry KW - Functions, special. KW - Geometry, algebraic. KW - Algebra KW - Geometry, Algebraic KW - Number theory UR - https://www.unicat.be/uniCat?func=search&query=sysid:36756110 AB - 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. ER -