SPEAKER: Shawn Hedman

TITLE: Pseudolinearity

ABSTRACT:We will define the notion of k-pseudolinearity for minimal sets and prove that k-pseudolinearity implies locally modularity. This is a result of Buechler. The proof that will be given is due to both Hrushovski and Pillay. We will show how this result can be used to show that (1) countably categorical strongly minimal theories are locally modular; and (2) nonlocally modular strongly minimal theories have infinitely many groups involved.