5 edition of **Algebraic K-theory, number theory, geometry, and analysis** found in the catalog.

- 370 Want to read
- 1 Currently reading

Published
**1984**
by Springer-Verlag in Berlin, New York
.

Written in English

- K-theory -- Congresses.,
- Algebraic number theory -- Congresses.,
- Geometry, Algebraic -- Congresses.,
- Functional analysis -- Congresses.

**Edition Notes**

Includes bibliographies.

Statement | edited by A. Bak. |

Series | Lecture notes in mathematics ;, 1046, Lecture notes in mathematics (Springer-Verlag) ;, 1046. |

Contributions | Bak, Anthony. |

Classifications | |
---|---|

LC Classifications | QA3 .L28 no. 1046, QA612.33 .L28 no. 1046 |

The Physical Object | |

Pagination | vii, 464 p. : |

Number of Pages | 464 |

ID Numbers | |

Open Library | OL3184399M |

ISBN 10 | 0387128913 |

LC Control Number | 83027188 |

The first part consists of lectures given during the first two weeks devoted to a workshop featuring state-of-the-art expositions on 'Overview of Algebraic K-theory' including various constructions, examples, and illustrations from algebra, number theory, algebraic topology, and algebraic/differential geometry; as well as on more concentrated. Algebraic K-theory encodes important invariants for several mathematical disciplines, spanning from geometric topology and functional analysis to number theory and algebraic geometry. As is commonly encountered, this powerful mathematical object is very hard to calculate. Apart from Quillen's.

Algebraic K-theory allows you to talk about characteristic classes of vector bundles on schemes, with values in various cohomology theories, see for example Gillet: K-theory and algebraic geometry. Algebraic K-theory is intimately connected with motivic cohomology and algebraic cycles, see for example Friedlander's ICTP lectures available on. Online shopping for Algebraic Geometry from a great selection at Books Store. Introduction to Analysis of the Infinite: Book I 1. price $ K-Theory for Operator Algebras 1. price $ Cohomology of Number Fields 1. price $

I have a question about a claim I found in Liu's book Algebraic Geometry and Arithmetic Curves in the Proof of Theorem (b) page In (b) uses the notation of a "center". algebraic-geometry algebraic-k-theory. asked May 8 at user 1 1 silver badge 8 8 bronze badges. 0. Newest algebraic-geometry questions feed. For the Higher Algebraic K-Theory there are the books by Jonathan Rosenberg: ”Algebraic K-Theory and its Applications”, Springer Graduate Texts inMathematics (), thebookby as: ”Algebraic K-Theory”, Birkhauser, Boston () and the book by Hvedri Inassaridze: ”Algebraic K-Theory”, Kluwer There are also some on line.

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Algebraic K-theory is a discipline which is internally coherent, but and analysis book strong connections to diverse mathematical disciplines, and has contributed solutions to problems in algebra, number theory, analysis, geometry and functional analysis.

It even has links to particle by: Algebraic K-theory is a modern branch of algebra which has many important applications in fundamental areas of mathematics connected with algebra, topology, algebraic geometry, functional analysis and algebraic number theory.

Methods of algebraic K-theory are actively used in algebra and related fields, achieving interesting results. An Algebraic Introduction to K-Theory (Encyclopedia of Mathematics and its Applications Book 87) - Kindle edition by Magurn, Bruce A. Download it once and read it on your Kindle device, PC, phones or tablets.

Use features like bookmarks, note taking and highlighting while reading An Algebraic Introduction to K-Theory (Encyclopedia of Mathematics and its Applications Book 87).5/5(1). Get this from a library. Algebraic K-theory, number theory, geometry, and analysis: proceedings of the international conference held at Bielefeld, Federal Republic of Germany, July[Anthony Bak;].

wrote out a brief outline, following Quillen’s paper Higher algebraic K-theory I Q []. It was overwhelming. I talked to Hy Bass, the author of the classic book Algebraic K-theory Bass [15], about what would be involved in writing such a book. It was scary, because (in ) I. Algebraic K-theory is a geometry branch of algebra which has many important applications in fundamental areas of mathematics connected with algebra, topology, algebraic geometry, functional analysis and algebraic number theory.

Methods of algebraic K-theory are actively used in algebra and related fields, achieving interesting results. This book presents the elements of algebraic K-theory, based Author: Hvedri Inassaridze. in order to solve some difficult problems in Algebraic Geometry (the letter “K” comes from the German word “Klassen”, the mother tongue of Grothendieck).

This idea of K-theory has invaded other parts of Mathematics, for example Number Theory [Ga], Topology [Bott] (AH1] and Functional Analysis [Connes]. Among many successes of K-theory. Introduction To K theory and Some Applications. This book explains the following topics: Topological K-theory, K-theory of C* algebras, Geometric and Topological Invarients, THE FUNCTORS K1 K2, K1, SK1 of Orders and Group-rings, Higher Algebraic K-theory, Higher Dimensional Class Groups of Orders and Group rings, Higher K-theory of Schemes, Mod-m Higher K-theory of exact Categories, Schemes.

Dwyer, E. Friedlander Some remarks on the K-theory of fields, in Applications of algebraic K-theory to algebraic geometry and number theory, Part I, II (Boulder, ), Contemp. Math., 55, AMS,– Google Scholar. Not to discredit the other answer, but if you're asking about algebraic K-theory, I'd like to assume you have some math background.

In particular, that you know about rings, topological spaces, categories, and functors. It will be helpful to know. Algebraic K-theory is a modern branch of algebra which has many important applications in fundamental areas of mathematics connected with algebra, topology, algebraic geometry, functional analysis and algebraic number s of algebraic K-theory are actively used in algebra and related fields, achieving interesting results.

This book presents the elements of algebraic K-theory, based. Lectures on Algebraic K theory by J.F. Jardine. This note covers the following topics: Some homotopy theory, Exact categories, Q-construction, Fundamental groupoid, Waldhausen's constructions, Additivity, The K-theory spectrum, Products, Group completion, Q=+ theorem, The defining acyclic map, Homotopy fibres, Resolution theorem, Dévissage, Abelian category localization, Coherent sheaves and.

Algebraic K-theory is a modern branch of algebra which has many important applications in fundamental areas of mathematics connected with algebra, topology, algebraic geometry, functional analysis and algebraic number s of algebraic K-theory are actively used in algebra and related fields, achieving interesting results.

This book presents the elements of algebraic K-theory, based Brand: Springer Netherlands. Vector Bundles and K-Theory. This unfinished book is intended to be a fairly short introduction to topological K-theory, starting with the necessary background material on vector bundles and including also basic material on characteristic classes.

For further information or to download the part of the book that is written, go to the download page. What is algebraic number theory. A number ﬁeld K is a ﬁnite algebraic extension of the rational numbers Q.

Every such extension can be represented as all polynomials in an algebraic number α: K = Q(α) = (Xm n=0 anα n: a n ∈ Q). Here α is a root of a polynomial with coeﬃcients in Size: KB. Thomason, Algebraic K-theory and étale cohomology, Ann.

Sci. Ecole Norm. Sup. 18 (4),pp. – Yevsey Nisnevich, The completely decomposed topology on schemes and associated descent spectral sequences in algebraic K-theory, Algebraic K-theory: connections with geometry and topology,pp AN INTRODUCTION TO ALGEBRAIC K-THEORY 3 Example.

The ring of algebraic integers of Q[−5] is√ Z[√ −5]. Here Cl(Z[√ −5]) = Z/2, admitting the ideal (3,2+ √ −5) as generator. The class group of the ring of integers Z[ξ p] of the cyclotomic number ﬁeld Q[ξ p] (here pis an.

Algebraic K-theory is a modern branch of algebra which has many important applications in fundamental areas of mathematics connected with algebra, topology, algebraic geometry, functional analysis and algebraic number theory.

Methods of algebraic K-theory are actively used in algebra and related fields, achieving interesting : Hvedri Inassaridze. An Algebraic Introduction to K-Theory This book is an introduction to K-theory and a text in algebra. These two roles are entirely compatible.

On the one hand, nothing more than the basic algebra of groups, rings, and modules is needed to explain the classical algebraic K-theory. On the other. Algebraic K-Theory and Its Applications,Jonathan Rosenberg. Algebraic Number Theory,Serge Lang. Algebraic Number Theory,Serge Lang.

Algebraic Theories,Ernest G. Manes. Algebraic Topology,William Author: Kevin de Asis. I am mainly interested in homotopy theory, combinatorics(of any kind, with special interest in anything reflection group/Coxeter-related),theoretical computer science and algebraic geometry.

I still have a lot to learn and the blog is essentially reflective of my developing mathematical knowledge.Seminar on Algebraic K-theory and Algebraic Number Theory ( East-Weat Center) Algebraic K-theory and algebraic number theory: proceedings of a seminar held January, with support from the National Science Foundation and Japan Society for the Promotion of Science/Michael R.

Stein and R. Keith Dennis. editors. p. Size: 1MB.Algebraic K-theory plays an important role in many areas of modern mathematics: most notably algebraic topology, number theory, and algebraic geometry, but even including operator theory. The broad range of these topics has tended to give the subject an aura of inapproachability.