Date: March 13, Friday, 2026
Place: Colloquium room, West-Wing 6F, Biwako-Kusatsu Campus + Zoom meeting
Registration URL for Zoom:
https://ritsumei-ac-jp.zoom.us/meeting/register/A90nnMv0RNC7PFizhntG_w
-Program-
15:20-16:20 Olga Lukina (Leiden University)
Cantor actions in dynamical systems
16:30-17:30 Steven Hurder (University of Illinois at Chicago)
The dynamics of commensurators
-Abstract-
- Speaker 1: Steve Hurder (University of Illinois at Chicago)
- Title: The dynamics of commensurators
- Abstract:
A commensurator of a countable group G is a virtual automorphism. That is, it is an isomorphism f : H -> K where H and K are subgroups of finite index of G. We associate to a commensurator f of G, a homeomorphism F : C -> C of a Cantor set C. In the general case the space C is the profinite completion of G, but our interest is in more general case where C is a quotient of the profinite completion of G. We study the dynamical properties of the map F : C -> C.
- Speaker 2: Olga Lukina (Leiden University)
- Title: Cantor actions in dynamical systems
- Abstract:
In this talk, we consider dynamical systems on Cantor sets, given by group actions. Such systems arise as transverse dynamical systems in strange attractors and exceptional minimal sets of foliations. We present a few classification results.
Organizers:
Fukumoto Yoshihiro, Tarama Daisuke, Nozawa Hiraku
Contact:
hnozawa@fc.ritsumei.ac.jp
日本語
English