Dear All, We are delighted to present the MaPSS Seminar topic of Monday 29/08; please see the abstract below. **This Semester the Seminar will always run on Monday, at 5:00pm in 535A** Following the talk, there will be pizza on offer. Speaker: Kamil Bulinski (Sydney University) Title: Equidistribution and Unique Ergodicity Abstract: We all know that if $\alpha \in \mathbb{R}/\mathbb{Z}$ is irrational, then the sequence $\n \alpha$ is dense. The goal of this talk is to prove that this is also true for the sequence $n^2 \alpha$. In fact, we will show that this sequence is equidistributed (a result due to Weyl). To do so, we will introduce some basic notions in Dynamics and Ergodic Theory, culminating in a proof of Furstenberg’s result on the unique ergodicity of skew products, which implies Weyl’s result. Supervisors, please encourage your students to attend. Thanks, MaPSS Organizers