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p-adic Geometry: Lectures from the 2007 Arizona Winter School (University Lecture Series) - Softcover
Inhaltsangabe
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.
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Reseña del editor
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.
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- VerlagAmerican Mathematical Society
- Erscheinungsdatum2008
- ISBN 10 0821844687
- ISBN 13 9780821844687
- EinbandTapa blanda
- SpracheEnglisch
- Anzahl der Seiten203
- Kontakt zum HerstellerNicht verfügbar
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p-adic geometry. Lectures from the 2007 Arizona Winter School.
Verlag:
Providence, American Mathematical Society, 2008
ISBN 10: 0821844687
ISBN 13: 9780821844687
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Softcover
Anbieter: Antiquariat Bookfarm, Löbnitz, Deutschland
Verkäuferbewertung 5 von 5 Sternen
Softcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-02816 9780821844687 Sprache: Englisch Gewicht in Gramm: 550. Bestandsnummer des Verkäufers 2488698
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padic Geometry Lectures from the 2007 Arizona Winter School
Anbieter: Revaluation Books, Exeter, Vereinigtes Königreich
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Paperback. Zustand: Brand New. illustrated edition. 203 pages. 10.00x7.00x0.50 inches. In Stock. Bestandsnummer des Verkäufers 0821844687
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