Speaker: 
Paul Baginski Undergraduate Honors Student Department of Mathematical Sciences Carnegie Mellon University 

Title:  The MordellLang Conjecture in characteristic zero 
Abstract:
The MordellLang conjecture has played an important role in Model Theory since E. Hrushovski's modeltheoretic proof of it in 1996. Since then, there have been no nonmodeltheoretic proofs given of the conjecture in full generality. Therefore, the MordellLang conjecture has stood fast as a testament to the applicability of Model Theory to other fields. In this first lecture, I will provide a primer on the MordellLang conjecture in characteristic zero. The conjecture will be traced back to its diophantine roots, and then abstracted to its modern statement. In the process I hope to an idea of the motivation behind the conjecture, and its significance in number theory and algebraic geometry.