Holly Miller, Temple University
In this third talk on the GT group, we introduce GT-shadows. After a reminder on profinite completions of groups, we recall the definition of the gentle version of the GT group as a subgroup of automorphisms of the profinite completion of the free group on two generators. It is natural to ask if the gentle GT group is itself profinite, and GT-shadows are discussed through the perspective that comes with this question. Along the way, a few open questions in the area will be mentioned.