Ian Morrison (Fordham University)

Friday 6th June, 12.05-12.55pm, Carslaw 373

Mori and nef cones of moduli spaces of pointed curves

I will first explain the "F-conjecture" which characterizes the extremal rays of the Mori cone of effective curves on the moduli space of n-pointed curves of genus g. Then I will review the consequences of this conjecture for the nef and ample cones of these spaces, explain reductions from the case of general genus to genus 0 and their use to prove the conjecture when g+n is small, and give some applications.