Connes distance and aperiodic order

Series
Math Physics Seminar
Time
Friday, November 14, 2014 - 2:00pm for 1 hour (actually 50 minutes)
Location
Skiles 005
Speaker
Jean Savinien – University of Lorraine, Metz, France
Organizer
Federico Bonetto
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.