|Topology of Algebraic Varieties|
|Topic:||Projectivity of the moduli space of KSBA stable pairs and applications|
|Date:||Tuesday, February 24|
|Time/Room:||2:00pm - 3:00pm/S-101|
KSBA (Kollár-Shepherd-Barron-Alexeev) stable pairs are higher dimensional generalizations of (weighted) stable pointed curves. I will present a joint work in progress with Sándor Kovács on proving the projectivity of this moduli space, by showing that certain Hodge-type bundles are ample on it. I will also mention applications to the subadditivity of logarithmic Kodaira dimension, and to the ampleness of the CM line bundle.