Lecture on "The Finite Global Attractor Problem for Non-Autonomous Systems"

March 19, 2025

Speaker: Zhang Gaofei, professor and doctoral supervisor, Nanjing University

Date: March 19, 2025

Time: 10:00-11:30 am

Location: E119, Huagang East Building, Shandong University Qingdao Campus

Sponsor: Research Center for Mathematics and Interdisciplinary Sciences, Shandong University

Abstract:

We study the global attractor problem for non-autonomous systems generated by a finite family of topological polynomials with the same postcritical set. We prove either the system has an obstruction or the finite global attractor conjecture holds. In the later case, we prove that there are finitely many trees so that the Hubbard tree of any composition of the maps in the family is homotopic to one of these trees.

For more information, please visit:

https://www.view.sdu.edu.cn/info/1020/200149.htm