Groups and Dynamics Seminar

Date: January 26, 2022

Time: 3:00PM - 4:00PM

Location: online

Speaker: Francesco Fournier-Facio, ETH Zurich

Title: On the second bounded cohomology of some left orderable groups

Abstract: The study of groups of homeomorphisms of the line has seen a lot of growing interest in the past few years. These include Thompson's group F, and a whole zoo of generalizations with various interesting properties and curious behaviours. Guided by questions of Grigorchuk, Calegari, and Navas - which were solved in the past three months - we will look at the second bounded cohomology of these groups, and see how dynamical properties can be used to prove vanishing results. This is based on joint works with Yash Lodha.