XXV Workshop on Geometric Methods in Physics 2-8.07.2006

Stefan Waldmann

Locally Noncommutative Space-Times

In a joint work with Dorothea Bahns a new class of models for noncommutative space-times is considered: the star product is only noncommutative in a small neighbourhood of a given point, thereby depending on this particular point. This way noncommutativity becomes only visible at small distances. The mathematical structures involve particular Poisson structures on the tangent bundle and an adapted formality theorem. Various physical aspects of this model will be discussed.