Abstract: In 1974, Honda proved the p-curvature conjecture for order one differential equations with rational coefficients over a number field. He demonstrated that in this setting, the p-curvature conjecture was equivalent to a theorem due to Kronecker, providing a local-global

Abstract: The talk will introduce the F-conjecture, which states that the Mori cone of the moduli space of genus g stable curves ‾Mg,n is generated by 1-dimensional strata. We will see that the question can be formulated on any Hassett space and