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University Lecture Ser.: P-Adic Geometry : Lectures from the 2007 Arizona Winter School by American Mathem American Mathem (2008, Trade Paperback)
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About this product
Product Identifiers
PublisherAmerican Mathematical Society
ISBN-100821844687
ISBN-139780821844687
eBay Product ID (ePID)69630109
Product Key Features
Number of Pages203 Pages
LanguageEnglish
Publication NameP-Adic Geometry : Lectures from the 2007 Arizona Winter School
Publication Year2008
SubjectGeometry / Algebraic, Mathematical Analysis
TypeTextbook
Subject AreaMathematics
AuthorAmerican Mathem American Mathem
SeriesUniversity Lecture Ser.
FormatTrade Paperback
Dimensions
Item Height0.6 in
Item Weight14 Oz
Item Length9.8 in
Item Width5.9 in
Additional Product Features
Intended AudienceScholarly & Professional
LCCN2008-023597
Dewey Edition22
Series Volume Number45
IllustratedYes
Dewey Decimal516.3/5
Table Of ContentV. Berkovich, Non-archimedean analytic geometry: first steps; B. Conrad, Several approaches to non-archimedean geometry; S. Dasgupta and J. Teitelbaum, The $p$-adic upper half plane; M. Baker, An introduction to Berkovich analytic spaces and non-archimedean potential theory on curves; K. S. Kedlaya, $p$-adic cohomology: from theory to practice.
SynopsisIn 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 this book is based, introduces graduate students to this subject., 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., 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.
LC Classification NumberQA242.5.A757 2007
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