Date: 2 March 2018
Location: Hempfield High School, Room 213
 Speaker: Ron Umble, Millersville University
   Title: The Coherent Framed Join and Biassociahedra

Abstract. We construct the coherent framed join of finite ordered
sets, form the reduced coherent framed join as an appropriate quotient,
and use the combinatorics of the reduced framed join to construct the
biassociahedra $KK_{n,m}$. In the ranges $1\leq m\leq3$ and $1\leq
n\leq3$, which are sufficient for our applications, the cellular chain
complex $C_*(KK)$ is canonically isomorphic to the free matrad
$\mathcal{H}_{\infty}$.