|DATE||August 11 (Wed), 2021|
|HOST||Park, Kyewon Koh|
|INSTITUTE||Nicolaus Copernicus University|
|TITLE||Effective equidistribution of higher step nilflows|
Nilflow is an example 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 since the flow does not behave nicely due to the lack of a well-established 'renormalization scheme'. In the recent works of Flaminio-Forni, they proved the effective equidistribution of ergodic averages of non-renormalizable parabolic flows by introducing their new methods, called the 'scaling operator technique'.