Geometry and Physics Seminar: Francois Greer

Polarized K3 surfaces of genus g can be thought of as families of canonical curves.  As such, their moduli space K_g has similar properties to M_g.  For instance, both are unirational for low values of g, and both have discrete Picard group.  In this talk, we will use the explicit unirationality of K_g to compute its Picard number in a few cases, which verifies the Noether-Lefschetz conjecture for genus up to 10.