Projectivity of the moduli space of KSBA stable pairs and applications

Topology of Algebraic Varieties
Topic:Projectivity of the moduli space of KSBA stable pairs and applications
Speaker:Zsolt Patakfalvi
Affiliation:Princeton University
Date:Tuesday, February 24
Time/Room:2:00pm - 3:00pm/S-101
Video Link:http://video.ias.edu/tav/2015/0224-ZsoltPatakfalvi

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.