Event Type:

Geometry-Topology Seminar

Date/Time:

Monday, November 5, 2018 - 12:00 to 12:50

Location:

Kidd 236

Abstract:

Given a group presentation, an element of the second homotopy group of its associated 2-complex can be represented by a special planar graph called a "picture". Of recent interest is an analogous construction associated to relative group presentations. Theoretical techniques can often determine whether simple relative presentations admit pictures. However, many classification results have a small set of cases for which these techniques are insufficient.

In this talk I discuss some of these unresolved picture problems and describe computational methods used to address them. In particular, I present a simple computer-assisted method to search for relative spherical pictures.