p-adic geometry : lectures from the 2007 Arizona Winter School
著者
書誌事項
p-adic geometry : lectures from the 2007 Arizona Winter School
（University lecture series, v. 45）
American Mathematical Society, c2008
大学図書館所蔵 件 / 全32件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
Includes bibliographical references
内容説明・目次
内容説明
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.
目次
Non-archimedean analytic geometry: first steps by V. Berkovich Several approaches to non-archimedean geometry by B. Conrad The $p$-adic upper half plane by S. Dasgupta and J. Teitelbaum An introduction to Berkovich analytic spaces and non-archimedean potential theory on curves by M. Baker $p$-adic cohomology: from theory to practice by K. S. Kedlaya.
「Nielsen BookData」 より