Laminations and structure theorems for group actions on the line - Part 1
De Michele Triestino
Homeomorphism groups of the Airplane and the Basilica Julia sets
De Bruno Duchesne
Apparaît dans la collection : 2024 - T2 - WS1 - Low Dimensional Actions
In this talk we will discuss the problem of determining the Borel complexity of the space of left-orders LO(G) of a countable left-orderable group G modulo the conjugacy G-action. We will see how this problem is connected to some well-studied topological properties of LO(G) such as the existence of dense orbits, and condensed orders. We will give an overview of our results showing that certain groups have nonstandard orbit space LO(G)/G. Time permitting, we will list open problems and discuss future directions.
Most of the results presented are joint work with Adam Clay.