Effective equidistribution of nilflows

Abstract: Nilflows are examples of parabolic flows that have a polynomial speed of divergence for nearby orbits. Compared to well-studied works on Heisenberg nilmanifolds (step 2), not many results are known on higher step manifolds due to non-existence of renormalization flows. Flaminio and Forni proved the effective equidistribution of ergodic averages of certain non-renormalizable nilflows, so called quasi-abelian. In this talk, inspired by their approach, we will introduce a general class of higher step nilmanifolds and exhibit the effective (polynomial type of) bounds of ergodic averages for certain higher step nilflows.

WEB SITE:  http://www.crm.sns.it/course/6286/

Those who are unable to be physically present may attend the talk via Zoom by following the link: https://us02web.zoom.us/j/83965821067?pwd=YU9MRHVVMlRQMXZycjVzVGR3VmlXZz09