Arithmetic Geometry (Clay Mathematics Proceedings, 8, Band 8) - Softcover

Inhaltsangabe

Based on survey lectures given at the 2006 Clay Summer School on Arithmetic Geometry at the Mathematics Institute of the University of Göttingen, this book introduces readers to modern techniques and outstanding conjectures at the interface of number theory and algebraic geometry. The main focus is rational points on algebraic varieties over non-algebraically closed fields. Topics discussed include Faltings' finiteness theorem, Wiles' proof of Fermat's Last Theorem, modular curves and parametrizations, Heegner points, Shimura varieties, the minimal model program, moduli spaces of curves and maps, deformation theory, Galois cohomology, harmonic analysis, and automorphic functions. This book will interest students doing advanced work in mathematics. Annotation ©2009 Book News, Inc., Portland, OR (booknews.com)

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