Short introductory lectures.
A hypoelliptic pseudodifferential operator on a compact manifold is Fredholm and therefore has a well defined index. I will discuss cyclic cohomology based approach to finding a formula for the index of a class of such operators.
Links:
[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] http://www.mpim-bonn.mpg.de/node/3444
[3] http://www.mpim-bonn.mpg.de/TopologySeminar