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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Paperback. Zustand: New. In recent decades, $p$-adic geometry and $p$-adic cohomology theories have become indispensable tools in number theory, algebraic geometry, and the theory of automorphic representations. The Arizona Winter School 2007, on which the current book is based, was a unique opportunity to introduce graduate students to this subject. Following invaluable introductions by John Tate and Vladimir Berkovich, two pioneers of non-archimedean geometry, Brian Conrad's chapter introduces the general theory of Tate's rigid analytic spaces, Raynaud's view of them as the generic fibers of formal schemes, and Berkovich spaces. Samit Dasgupta and Jeremy Teitelbaum discuss the $p$-adic upper half plane as an example of a rigid analytic space, and give applications to number theory (modular forms and the $p$-adic Langlands program). Matthew Baker offers a detailed discussion of the Berkovich projective line and $p$-adic potential theory on that and more general Berkovich curves. Finally, Kiran Kedlaya discusses theoretical and computational aspects of $p$-adic cohomology and the zeta functions of varieties.This book will be a welcome addition to the library of any graduate student and researcher who is interested in learning about the techniques of $p$-adic geometry. Bestandsnummer des Verkäufers LU-9780821844687
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Zustand: New. Offers a discussion of the Berkovich projective line and $p$-adic potential theory on that and more general Berkovich curves. This book discusses theoretical and computational aspects of $p$-adic cohomology and the zeta functions of varieties. It is suitable for students interested in learning about the techniques of $p$-adic geometry. Series: University Lecture Series. Num Pages: 203 pages, illustrations. BIC Classification: PBMW. Category: (UP) Postgraduate, Research & Scholarly. Dimension: 259 x 215 x 14. Weight in Grams: 398. . 2008. Paperback. . . . . Bestandsnummer des Verkäufers V9780821844687
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Zustand: New. Offers a discussion of the Berkovich projective line and $p$-adic potential theory on that and more general Berkovich curves. This book discusses theoretical and computational aspects of $p$-adic cohomology and the zeta functions of varieties. It is suitable for students interested in learning about the techniques of $p$-adic geometry. Series: University Lecture Series. Num Pages: 203 pages, illustrations. BIC Classification: PBMW. Category: (UP) Postgraduate, Research & Scholarly. Dimension: 259 x 215 x 14. Weight in Grams: 398. . 2008. Paperback. . . . . Books ship from the US and Ireland. Bestandsnummer des Verkäufers V9780821844687
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