Abstract: The Kontsevich moduli space of stable maps is the central object in Gromov-Witten theory. In this talk, I will discuss its birational geometry and describe how to run Mori's program on small degree examples. I will focus on a few concrete examples.This is joint work with Dawei Chen and builds on joint work with Joe Harris and Jason Starr.
Place: Bilkent, Mathematics Seminar Room SA-141
Tea and cookies will be served before the talk.