Taken from four lectures held at the annual school in March 2007 at the U. of Arizona, these lecture notes are accessible to both graduate students and researchers interested in learning about the techniques of p-adic geometry. This field, which has provided tools to number theory, algebraic geometry, and the theory of automorphic representations, has produced significant research in recent years as these lecture show. Topics include non-archimedean analytical geometry, approaches to non-archimedean geometry, the p-adic upper half plane, Berkovich analytic spaces and non-archimedean potential theory on curves, and p-adic cohomology from theory to practice. Each lecture includes full references. Annotation ©2009 Book News, Inc., Portland, OR (booknews.com)
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