Non-commutative Geometry IV - Crossed products: the noncommutative torus

Series
Geometry Topology Working Seminar
Time
Friday, November 12, 2010 - 2:00pm for 2 hours
Location
Skiles 171
Speaker
Jean Bellissard – Ga Tech
Organizer
John Etnyre

Please Note: Note this is a 2 hour talk.

In this lecture, we will look at the notion of crossed product by a group action. The example of the non commutative torus will be considered in detail. The analog of vector fields, vector bundle and connection will be introduced from this example. Some example of connection will be described and the curvature will be computed.