Conference abstracts
Session S12 - Group Theory
July 28, 15:30 ~ 15:55
Groups of circle homeomorphisms with invariant laminations.
Juan Alonso
Universidad de la República, Uruguay - juan@cmat.edu.uy
Together with H. Baik and E. Samperton, we study subgroups of $Homeo^+(S^1)$ according to the laminations they preserve. Our most specific goal is to characterize the main examples that arise from hyperbolic geometry of surfaces and 3-manifolds.
I will give an overview of this topic, focusing on the Tits alternative for groups preserving two transverse laminations.
Joint work with Hyungryul Baik (Rheinische Friedrich-Wilhelms-Universität Bonn) and Eric Samperton (UC Davis).