Top ological insulators display two remarkable properties. Firstly\, they are genuine thermodynamic phases\, i.e. they are separated by sharp phase boun daries where Anderson’s localization length diverges. Secondly\, when tw o distinct topological phases are interfaced\, wave propagation is enabled along the interface\, which cannot be suppressed by disorder. In the firs t part of the talk\, I will exemplify these phenomena with exactly solvabl e models\, of which one with disorder\, as well as with numerical simulati ons. In the second part of the talk\, I will show how index theorems gener ated with Alain Connes’ quantized calculus explain both remarkable prope rties mentioned above.
\n\nPLEASE NOTE THE CHANGE IN TIME (!)