Seminari di Sistemi Dinamici 2022

Effective equidistribution of nilflows

speaker: Minsung Kim (Scuola Normale Superiore)

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.

timetable:
Thu 28 Apr, 14:00 - 15:00, Sala Conferenze Centro De Giorgi
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