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FIELD Math: CMC
DATE August 11 (Wed), 2021
TIME 17:00-18:00
PLACE Online
SPEAKER 김민성
HOST Park, Kyewon Koh
INSTITUTE Nicolaus Copernicus University
TITLE Effective equidistribution of higher step nilflows
ABSTRACT

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'.
In this talk, we introduce a general class of higher step cases and by applying the approach of F-F, we exhibit the effective (polynomial type of) bound of deviation of ergodic averages, depending on the structure of the nilmanifolds.

* Zoom 회의 참가
https://us02web.zoom.us/j/87405780487?pwd=UW1qRk9xTW1hc3p5dWk1T21KRDhDUT09
회의 ID: 874 0578 0487
암호: 371451

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