Meeting ID: 852 4277 3200 Passcode: 103121
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. In general, the flows on higher step nilmanifolds do not behave nicely due to the lack of a well-established 'renormalization scheme'. In the work of Flaminio-Forni, they 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 we will exhibit the effective (polynomial type of) bounds of deviation of ergodic averages for certain higher step nilflows.