# NCG

## Seminar

### Distance in noncommutative geometry

Martinetti, P (Universita Roma la Sapienza")
Thursday 07 September 2006, 16:30-17:00

Seminar Room 1, Newton Institute

#### Abstract

We shall present an overview of the distance formula in Noncommutative Geometry. In particular we will recall how gauge fields - including a scalar component - naturally acquire a metric interpretation. This will be illustrated on the one side by the Higgs field in the standard model, on the other side by connection 1-forms on fibre bundles. In particular we will analyse the link between the distance coming from Noncommutative Geometry and another distance classically associated to connections, namely the Carnot-Caratheodory (or horizontal) distance.