A walk in the noncommutative garden
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.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 January 2006
 arXiv:
 arXiv:math/0601054
 Bibcode:
 2006math......1054C
 Keywords:

 Mathematics  Quantum Algebra;
 Mathematics  Mathematical Physics;
 Mathematics  Number Theory;
 Mathematics  Operator Algebras;
 Mathematical Physics;
 58B34
 EPrint:
 106 pages, LaTeX, 23 figures