A Reduction of the F-Conjecture

Explore a lecture on "A Reduction of the F-Conjecture" presented by Angela Gibney from the University of Pennsylvania at the Institute for Advanced Study's Special Year Seminar II. Delve into this long-standing mathematical conjecture which proposes a simple description for the closed cone of effective curves on the moduli space M_{g,n}\bar of stable n-pointed curves of genus g, determined by a finite collection of F-curves. Learn how the F-Conjecture can be reduced to a simpler problem on M_{1,n}\bar involving a relatively small number of F-curves of one particular type. Discover why this reformulation might be more valuable for identifying counterexamples rather than proving additional cases. The lecture is scheduled for May 8, 2025, at 10:00am in Simonyi 101.