Noncommutative Geometry: Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 3-9, 2000 / Edition 1

by Alain Connes, Sergio Doplicher, Joachim Cuntz, Roberto Longo, Erik G. Guentner

Overview

Noncommutative Geometry is one of the most deep and vital research subjects of present-day Mathematics. Its development, mainly due to Alain Connes, is providing an increasing number of applications and deeper insights for instance in Foliations, K-Theory, Index Theory, Number Theory but also in Quantum Physics of elementary particles. The purpose of the Summer School in Martina Franca was to offer a fresh invitation to the subject and closely related topics; the contributions in this volume include the four main lectures, cover advanced developments and are delivered by prominent specialists.

Product Details

ISBN-13:	9783540203575
Publisher:	Springer Berlin Heidelberg
Publication date:	02/12/2004
Series:	Lecture Notes in Mathematics , #1831
Edition description:	2004
Pages:	356
Product dimensions:	6.10(w) x 9.25(h) x 0.24(d)

Table of Contents

Cyclic Cohomology, Noncommutative Geometry and Quantum Group Symmetries.- Cyclic Theory and the Bivariant Chern-Connes Character.- Group C*-Algebras and K-Theory.- Geometric and Analytic Properties of Groups.- More Lectures on Algebraic Quantum Field Theory.