an introduction to non abelian class field theory

Download Book An Introduction To Non Abelian Class Field Theory in PDF format. You can Read Online An Introduction To Non Abelian Class Field Theory here in PDF, EPUB, Mobi or Docx formats.

An Introduction To Non Abelian Class Field Theory

Author : Toyokazu Hiramatsu
ISBN : 9789813142282
Genre : Mathematics
File Size : 75. 21 MB
Format : PDF, ePub, Docs
Download : 236
Read : 724

Get This Book


This monograph provides a brief exposition of automorphic forms of weight 1 and their applications to arithmetic, especially to Galois representations. One of the outstanding problems in arithmetic is a generalization of class field theory to non-abelian Galois extension of number fields. In this volume, we discuss some relations between this problem and cusp forms of weight 1.

An Introduction To Non Abelian Class Field Theory

Author : Toyokazu Hiramatsu
ISBN : 9813142278
Genre : MATHEMATICS
File Size : 32. 51 MB
Format : PDF, ePub
Download : 969
Read : 514

Get This Book


"This monograph provides a brief exposition of automorphic forms of weight 1 and their applications to arithmetic, especially to Galois representations. One of the outstanding problems in arithmetic is a generalization of class field theory to non-abelian Galois extension of number fields. In this volume, we discuss some relations between this problem and cusp forms of weight 1."--Publisher's website.

Class Field Theory

Author : Nancy Childress
ISBN : 9780387724904
Genre : Mathematics
File Size : 64. 42 MB
Format : PDF, ePub
Download : 781
Read : 978

Get This Book


Class field theory brings together the quadratic and higher reciprocity laws of Gauss, Legendre, and others, and vastly generalizes them. This book provides an accessible introduction to class field theory. It takes a traditional approach in that it attempts to present the material using the original techniques of proof, but in a fashion which is cleaner and more streamlined than most other books on this topic. It could be used for a graduate course on algebraic number theory, as well as for students who are interested in self-study. The book has been class-tested, and the author has included lots of challenging exercises throughout the text.

An Introduction To Non Abelian Class Field Theory

Author : Toyokazu Hiramatsu
ISBN : 981314226X
Genre : Mathematics
File Size : 76. 59 MB
Format : PDF, Docs
Download : 367
Read : 955

Get This Book


This monograph provides a brief exposition of automorphic forms of weight 1 and their applications to arithmetic, especially to Galois representations. One of the outstanding problems in arithmetic is a generalization of class field theory to non-abelian Galois extension of number fields. In this volume, we discuss some relations between this problem and cusp forms of weight 1.

Local Class Field Theory

Author : Kenkichi Iwasawa
ISBN : UOM:39015015612537
Genre : History
File Size : 69. 80 MB
Format : PDF, ePub, Mobi
Download : 276
Read : 820

Get This Book


This book provides a readable introduction to local class field theory, a theory of algebraic extensions. It covers abelian extensions in particular of so-called local fields, typical examples of which are the p-adic number fields. The book is almost self-contained and is accessible to any reader with a basic background in algebra and topological groups.

Class Field Theory

Author : Jürgen Neukirch
ISBN : 9783642354373
Genre : Mathematics
File Size : 39. 35 MB
Format : PDF, Mobi
Download : 506
Read : 1171

Get This Book


The present manuscript is an improved edition of a text that first appeared under the same title in Bonner Mathematische Schriften, no.26, and originated from a series of lectures given by the author in 1965/66 in Wolfgang Krull's seminar in Bonn. Its main goal is to provide the reader, acquainted with the basics of algebraic number theory, a quick and immediate access to class field theory. This script consists of three parts, the first of which discusses the cohomology of finite groups. The second part discusses local class field theory, and the third part concerns the class field theory of finite algebraic number fields.

Knots And Primes

Author : Masanori Morishita
ISBN : 1447121589
Genre : Mathematics
File Size : 89. 50 MB
Format : PDF, Docs
Download : 326
Read : 1179

Get This Book


This is a foundation for arithmetic topology - a new branch of mathematics which is focused upon the analogy between knot theory and number theory. Starting with an informative introduction to its origins, namely Gauss, this text provides a background on knots, three manifolds and number fields. Common aspects of both knot theory and number theory, for instance knots in three manifolds versus primes in a number field, are compared throughout the book. These comparisons begin at an elementary level, slowly building up to advanced theories in later chapters. Definitions are carefully formulated and proofs are largely self-contained. When necessary, background information is provided and theory is accompanied with a number of useful examples and illustrations, making this a useful text for both undergraduates and graduates in the field of knot theory, number theory and geometry. ​

Collection Of Articles Dedicated To Academician I M Vinogradov On The Eightieth Anniversary Of His Birth

Author :
ISBN : 0821830120
Genre : Mathematics
File Size : 30. 2 MB
Format : PDF, ePub, Mobi
Download : 653
Read : 975

Get This Book



Non Commutative Analysis

Author : Jorgensen Palle
ISBN : 9789813202146
Genre : Mathematics
File Size : 89. 32 MB
Format : PDF, Docs
Download : 169
Read : 797

Get This Book


The book features new directions in analysis, with an emphasis on Hilbert space, mathematical physics, and stochastic processes. We interpret "non-commutative analysis" broadly to include representations of non-Abelian groups, and non-Abelian algebras; emphasis on Lie groups and operator algebras (C* algebras and von Neumann algebras.) A second theme is commutative and non-commutative harmonic analysis, spectral theory, operator theory and their applications. The list of topics includes shift invariant spaces, group action in differential geometry, and frame theory (over-complete bases) and their applications to engineering (signal processing and multiplexing), projective multi-resolutions, and free probability algebras. The book serves as an accessible introduction, offering a timeless presentation, attractive and accessible to students, both in mathematics and in neighboring fields.

An Introduction To The Theory Of Wave Maps And Related Geometric Problems

Author : Dan-Andrei Geba
ISBN : 9789814713924
Genre : Mathematics
File Size : 39. 28 MB
Format : PDF, Mobi
Download : 592
Read : 889

Get This Book


The wave maps system is one of the most beautiful and challenging nonlinear hyperbolic systems, which has captured the attention of mathematicians for more than thirty years now. In the study of its various issues, such as the well-posedness theory, the formation of singularities, and the stability of the solitons, in order to obtain optimal results, one has to use intricate tools coming not only from analysis, but also from geometry and topology. Moreover, the wave maps system is nothing other than the Euler–Lagrange system for the nonlinear sigma model, which is one of the fundamental problems in classical field theory. One of the goals of our book is to give an up-to-date and almost self-contained overview of the main regularity results proved for wave maps. Another one is to introduce, to a wide mathematical audience, physically motivated generalizations of the wave maps system (e.g., the Skyrme model), which are extremely interesting and difficult in their own right.

Top Download:

Best Books