Seminar Event Detail

Student Geometry/Topology

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

Event Organizer:     


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