The vagueness of the phrase ``simplest possible'' is shown through the sometimes coinciding sometimes wildly diverging notions of "prime model", a model which can be embedded inside any other model of a given theory, and a "minimal model", a model which does not contain any submodels of a given theory. Hijinks ensue. The highlight will be the exhibition of a theory with no prime model and uncountably many minimal models along with a proof of this fact due to Baldwin, Blass, Glass, and Kueker.
To volunteer to give a talk, or for any other questions regarding this schedule, contact Sara Miller