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.
After the seminar we will take the speaker to lunch. See the Algebra Seminar web page for information about other seminars in the series. Anthony Henderson [email protected]. |