Title: Expansion Complexes II
Speaker: Dane Mayhook
The results of the first talk are no longer true in general when considering expansion complexes for finite subdivision rules with multiple tile types. In particular, two expansion complexes associated to the same rule need not be locally isomorphic. I will impose a mild condition called mixing on the subdivision rules and show that expansion complexes associated to subdivision rules that are mixing have all the desired properties--they are combinatorially repetitive, exhibit a combinatorial hierarchy, and that their local isomorphism class is precisely the set of all expansion complexes associated to their generating subdivision rule.