Title: Equidistribution of nilsequences

Abstract: I will explain some recent joint work with Terry Tao concerning quantitative equidistribution on nilmanifolds. This work contains classical equidistribution results such as that of Kronecker on n\alpha mod 1, where alpha in R^d, and that of Weyl on n^2\theta mod 1. My goal will be to give plenty of examples, state the general result, and give some indication of the proof. Those wishing to understand our motivation for proving such a result might be interested in my colloquium on Friday 23rd November.