Laminations and structure theorems for group actions on the line - Part 1
By Michele Triestino
Homeomorphism groups of the Airplane and the Basilica Julia sets
By Bruno Duchesne
By Anne Lonjou
Appears in collection : Virtual Geometric Group Theory conference / Rencontre virtuelle en géométrie des groupes
The Cremona group is the group of birational transformations of the projective plane. Even if this group comes from algebraic geometry, tools from geometric group theory have been powerful to study it. In this talk, based on a joint work with Christian Urech, we will build a natural action of the Cremona group on a CAT(0) cube complex. We will then explain how we can obtain new and old group theoretical and dynamical results on the Cremona group.