Thu, March 31, 2022
10:20 am - 11:20 am
MW 154
Title: Models for braid-like groups and their pure subgroups
Speaker: Michael Falk (Northern Arizona University)
Abstract: We describe a construction that produces a model for the braid group, starting from the graph of the permutahedron, and show how it can be generalized to graphic braid groups. The latter arise from consideration of fundamental groups of graphic hyperplane arrangements, which are "pure graphic braid groups". We describe some partial structure theorems for those groups, ending with an open problem. This talk is based on joint work with various people including Dan Cohen, Emanuele Delucchi, Dana Ernst, and Sonja Riedel.