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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 anthonyh@maths.usyd.edu.au. |