### Graduate Student Seminar, 4:00 pm April 30, 2007; HH229

#### Speaker:

Don Brower

#### Title:

Minimally Interesting

#### Abstract:

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