[Topology and Geometry Seminar] “ A suspension flow with a Plykin attractor” by Dr Linling Ru, and "On groups whose actions on finite-dimensional CAT(0) spaces have global fixed points" by Motoko Kato (Tokyo University).
The seminar aims to introduce research topics in topology, geometry and its interactions with other sciences. Anyone interested in mathematics is welcome to attend.
This week, we have two 30-mins talks. Dr Linling Ru (Tsvietkova Unit) will speak on "A suspension flow with a Plykin attractor", and Motoko Kato (Tokyo University) will talk about "On groups whose actions on finite-dimensional CAT(0) spaces have global fixed points".
Abstract (Linling Ru): This is the third part of a series of talks. In the last talk, we discussed a modern construction of Plykin attractor on the plane in a discrete-time system. In this talk, we will give a new construction of Plykin attractor in continuous time using a family of Weierstrass elliptic functions.
Abstract (Motoko Kato): We give a criterion for groups to have global fixed points for semi-simple actions on finite-dimensional complete CAT(0) spaces. As an application, we show that Thompson's groups T, V and their generalizations always have global fixed points when they act semi-simply on finite-dimensional complete CAT(0) spaces.