Formally p-adic Fields
Author | : A. Prestel |
Publisher | : Springer |
Total Pages | : 173 |
Release | : 2006-11-14 |
Genre | : Mathematics |
ISBN | : 3540387684 |
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Author | : A. Prestel |
Publisher | : Springer |
Total Pages | : 173 |
Release | : 2006-11-14 |
Genre | : Mathematics |
ISBN | : 3540387684 |
Author | : A. Prestel |
Publisher | : |
Total Pages | : 176 |
Release | : 2014-01-15 |
Genre | : |
ISBN | : 9783662176085 |
Author | : Jean-François Dat |
Publisher | : Cambridge University Press |
Total Pages | : 395 |
Release | : 2010-07-08 |
Genre | : Mathematics |
ISBN | : 1139488341 |
This book is, on the one hand, a pedagogical introduction to the formalism of slopes, of semi-stability and of related concepts in the simplest possible context. It is therefore accessible to any graduate student with a basic knowledge in algebraic geometry and algebraic groups. On the other hand, the book also provides a thorough introduction to the basics of period domains, as they appear in the geometric approach to local Langlands correspondences and in the recent conjectural p-adic local Langlands program. The authors provide numerous worked examples and establish many connections to topics in the general area of algebraic groups over finite and local fields. In addition, the end of each section includes remarks on open questions, historical context and references to the literature.
Author | : Vasili? Sergeevich Vladimirov |
Publisher | : World Scientific |
Total Pages | : 350 |
Release | : 1994 |
Genre | : Science |
ISBN | : 9789810208806 |
p-adic numbers play a very important role in modern number theory, algebraic geometry and representation theory. Lately p-adic numbers have attracted a great deal of attention in modern theoretical physics as a promising new approach for describing the non-Archimedean geometry of space-time at small distances.This is the first book to deal with applications of p-adic numbers in theoretical and mathematical physics. It gives an elementary and thoroughly written introduction to p-adic numbers and p-adic analysis with great numbers of examples as well as applications of p-adic numbers in classical mechanics, dynamical systems, quantum mechanics, statistical physics, quantum field theory and string theory.
Author | : |
Publisher | : Elsevier |
Total Pages | : 936 |
Release | : 1995-12-18 |
Genre | : Mathematics |
ISBN | : 0080532950 |
Handbook of Algebra defines algebra as consisting of many different ideas, concepts and results. Even the nonspecialist is likely to encounter most of these, either somewhere in the literature, disguised as a definition or a theorem or to hear about them and feel the need for more information. Each chapter of the book combines some of the features of both a graduate-level textbook and a research-level survey. This book is divided into eight sections. Section 1A focuses on linear algebra and discusses such concepts as matrix functions and equations and random matrices. Section 1B cover linear dependence and discusses matroids. Section 1D focuses on fields, Galois Theory, and algebraic number theory. Section 1F tackles generalizations of fields and related objects. Section 2A focuses on category theory, including the topos theory and categorical structures. Section 2B discusses homological algebra, cohomology, and cohomological methods in algebra. Section 3A focuses on commutative rings and algebras. Finally, Section 3B focuses on associative rings and algebras. This book will be of interest to mathematicians, logicians, and computer scientists.
Author | : G. H. Müller |
Publisher | : Springer |
Total Pages | : 492 |
Release | : 2006-12-08 |
Genre | : Mathematics |
ISBN | : 3540391150 |
Author | : Yann Bugeaud |
Publisher | : Cambridge University Press |
Total Pages | : 292 |
Release | : 2004-11-08 |
Genre | : Mathematics |
ISBN | : 1139455672 |
An accessible and broad account of the approximation and classification of real numbers suited for graduate courses on Diophantine approximation (some 40 exercises are supplied), or as an introduction for non-experts. Specialists will appreciate the collection of over 50 open problems and the comprehensive list of more than 600 references.