Séminaire de Géométrie et Topologie

Moduli spaces for group actions on the line

par Joaquin Brum

Europe/Paris
Description

Given a finitely generated group G, we consider the space of minimal G-actions on the line up to (marked) conjugacy. We will give some structural results for these spaces for the cases where G is solvable or "Thompson like", and deduce from them some structural stability results. Finally, if time permits, I will mention some connections between these spaces and amenability of left orderable groups. 
This is a joint work with Nicolás Matte Bon, Michele Triestino and Cristóbal Rivas.