### Connes distance and aperiodic order

- Series
- Math Physics Seminar
- Time
- Friday, November 14, 2014 - 14:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Jean Savinien – University of Lorraine, Metz, France

We build a family of
spectral triples for a discrete aperiodic tiling space, and derive the
associated Connes distances. (These are non commutative geometry
generalisations of Riemannian structures, and associated geodesic
distances.) We show how their metric properties lead to a characterisation
of high aperiodic order of the tiling. This is based on joint works with
J. Kellendonk and D. Lenz.