Seminar 10.26.17 Kanigowski

Title: Disjointness properties of some parabolic flows

Speaker: Adam Kanigowski (Pennsylvania State University)

Abstract: We study disjointness properties of some parabolic flows such as smooth flows on surfaces, time changes of horocycle flows and Heisenberg nilflows. We show that in the above classes time p and q automorphisms are disjoint. This in particular implies Sarnak conjecture. The approach is based on a new version of Ratner’s property (non-uniform Ratner’s property).