A walk in the noncommutative garden
Quantum Algebra
2009-09-29 v1 Mathematical Physics
math.MP
Number Theory
Operator Algebras
Abstract
This text is written for the volume of the school/conference "Noncommutative Geometry 2005" held at IPM Tehran. It gives a survey of methods and results in noncommutative geometry, based on a discussion of significant examples of noncommutative spaces in geometry, number theory, and physics. The paper also contains an outline (the ``Tehran program'') of ongoing joint work with Consani on the noncommutative geometry of the adeles class space and its relation to number theoretic questions.
Cite
@article{arxiv.math/0601054,
title = {A walk in the noncommutative garden},
author = {Alain Connes and Matilde Marcolli},
journal= {arXiv preprint arXiv:math/0601054},
year = {2009}
}
Comments
106 pages, LaTeX, 23 figures