|Date: Tuesday, March 27, 2018
Location: 3866 East Hall (3:00 PM to 4:00 PM)
Title: Outer Space
Abstract: The group of automorphisms of the free group has been an object of study since the start of the twentieth century; however, much of its structure remained elusive until 1986 when Culler and Vogtmann introduced Outer Space. This space is comprised equivalence class of metric graphs with fundamental group F_n, and Out(F_n) acts on it, in a manner analogous to that of a mapping class group on the Teichmuller space of a surface. In this talk I will introduce Outer Space as well as describe its geometry when endowed with the Lipschitz metric. This metric provides classification of the elements of Out(F_n) as parabolic, elliptic, or hyperbolic.
Speaker: Nicholas Wawrykow
Institution: University of Michigan