Groups and Operator Algebras Seminar

Speaker: James Hyde (University of Copenhagen)

Title: Sufficient conditions for a group of homeomorphisms of the Cantor set to be 2-generated

Abstract: A group G of homeomorphisms of the Cantor set is vigorous if for any non-empty clopen set A and non-empty proper clopen subsets B and C of A there exists an element g of G whose support is a subset of A and such that (B)g is a subset of C. We will use the space of marked groups to sketch a proof that all finitely generated vigorous simple groups of homeomorphisms of the Cantor are 2-generated and give some examples. This represents joint work with Collin Bleak and Luke Elliott.

GOA website: https://sites.google.com/view/copenhagen-goa-seminar