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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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.
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hypergeometric structures, ball uniformization, orbital morphisms, orbital invariants, orbifold fundamental group, secondary fan, ball quotients, orbital coverings, orbifold chart, secondary polytope, orbital curves, modular plane, holonomic modules, unimodular triangulation, gluing walls, covering branched, complex reflection groups, finite covolume, monodromy group, proportionality theorem, smooth surface point, integral monodromy, maximal cones, hypergeometric integrals, elliptic modular forms Key Phrases - Capitalized Phrases (CAPs): (learn more)
Fourier F-series, Birkhäuser Verlag Basel, Mathematics Subject Classification, New York, Aspects of Mathematics, Igor Dolgachev, Soviet Math, Decomposition Law Dec, Duke Math, Generalized Picard, Studies Pure Math, American Math, Applying Theorem, Berlin Germany, Berliner Math, Birkhäuser Boston, Cambridge University Press, Introduction These, Princeton University Press, Springer Verlag, Topology Monograph, Vieweg Verlag New!
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hypergeometric structures, ball uniformization, orbital morphisms, orbital invariants, orbifold fundamental group, secondary fan, ball quotients, orbital coverings, orbifold chart, secondary polytope, orbital curves, modular plane, holonomic modules, unimodular triangulation, gluing walls, covering branched, complex reflection groups, finite covolume, monodromy group, proportionality theorem, smooth surface point, integral monodromy, maximal cones, hypergeometric integrals, elliptic modular forms Key Phrases - Capitalized Phrases (CAPs): (learn more)
Fourier F-series, Birkhäuser Verlag Basel, Mathematics Subject Classification, New York, Aspects of Mathematics, Igor Dolgachev, Soviet Math, Decomposition Law Dec, Duke Math, Generalized Picard, Studies Pure Math, American Math, Applying Theorem, Berlin Germany, Berliner Math, Birkhäuser Boston, Cambridge University Press, Introduction These, Princeton University Press, Springer Verlag, Topology Monograph, Vieweg Verlag New!
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Front Cover | Table of Contents | First Pages | Back Cover | Surprise Me!
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