Event Type:

Geometry-Topology Seminar

Date/Time:

Monday, February 3, 2020 - 12:00 to 12:50

Location:

Kidd 236

Local Speaker:

Abstract:

Research from the past 30 years has led to an almost complete classification of asphericity as it occurs in relative group presentations <G,x: w> where the relative relator w has length four in the free product G*<x>. Infinite families of non-aspherical presentations have been identified exhibiting interesting combinatorial, topological, and number-theoretic properties. We discuss one such family involving the case where the relative relator has the form w = x^r*g*x^-s*g. This is joint work with Kirk McDermott of the Slippery Rock University of Pennsylvania.