TITLE: A totally categorical structure with trivial geometry which is not interpretable in the trivial structure
QUESTION [10 upvotes]: Among the theorems of early geometric model theory there is one by Lachlan stating that every totally categorical structure with a trivial pregeometry is intrepretable in a dense linear order.
That suggests in particular that there are totally categorical structures with a trivial pregeometry that are not interpretable in the trivial structure $(M,=)$. Could someone kindly give an example of such a structure?

REPLY [4 votes]: An example of such a structure is given here: ω-categorical, ω-stable structure with trivial geometry not definable in the pure set. Essentially, it is a non-split cover of the theory of the pure set. As in the paper of Hrushovski on Totally Categorical Structures.