3:45PM: Curves of genus 11 with several maps of degree 6 to P^1Frank SchreyerGreen's conjecture says that vanishing syzgies of a canonical curve is equivalent to the nonexistence of certain linear series on the curve. Turning things around, we might hope that many syzygies imply the existence of many linear systems. In this talk I will survey our knowledge on syzygies of canonical curves and then report on work of Hanieh Keneshlou, who used this approach to study the scheme of curves of genus 11 with several maps of degree 6 to P^1.

5:00PM: Curves on surfaces with ordinary singularities in P^3Mengyuan ZhangWe study curves in P3 lying on hypersurfaces that arise as images of “general” maps from smooth surfaces. We describe the numerical invariants of a large class of curves on these surfaces, and study the families of such curves in the Hilbert scheme.
