Noncommutative Geometry
Subtitle: Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 3-9, 2000 (Lecture Notes in Mathematics / Fondazione C.I.M.E., Firenze)
Contributors: Sergio Doplicher (Editor); Roberto Longo (Editor)
Edition: 1 edition
Publisher: Springer
Published: February 12, 2004
Language: eng
Format: Paperback
Number of pages: 349
ISBN-13: 9783540203575
Subjects: Differential & Riemannian geometry; Mathematics; General; Science/Mathematics; Quantum Theory; Noncommutative differential ge; Mathematical Analysis; Mathematical Physics; 58B34, 46L87, 81R60, 83C65; C*-Algebras; K-Theory; Mathematics / Mathematical Analysis; Quantum Physics; Science-Mathematical Physics; Science-Quantum Theory; cyclic cohomology; noncommutative geometry; Congresses; Noncommutative differential geometry
First sentence: Our purpose in these notes is to give a detailed introduction to basic notions of non-commutative geometry and to illustrate them in a concrete manner in a very specific example.
Description: 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.