Speaker: Yong Hu (Fudan)

Title: On canonically polarized Gorenstein 3-folds satisfying the Noether equality.
Abstract: We study canonically polarized Gorenstein 3-folds with at most terminal singularities and satisfying K_X^3=\frac 43p_g(X)-\frac {10}3 and p_g(X) \ge 7. We characterize the canonical maps of such 3-folds, describe a structure theorem for the locally factorial ones and completely classify the smooth ones. New examples of canonically polarized smooth 3-folds with K_X^3=\frac 43p_g(X)-\frac {10}3 and p_g(X) \ge 7 are constructed. These examples are natural extensions of those constructed by M. Kobayashi.