|Date: Wednesday, April 13, 2022
Location: 4096 East Hall (4:00 PM to 5:30 PM)
Title: K-stability and moduli of quartic K3 surfaces
Abstract: We show that K-moduli spaces of (P^3, cS) where S is a quartic surface interpolates between the GIT moduli space and the Baily-Borel compactification as c varies in (0,1). We completely describe the wall crossings of these K-moduli spaces. As a consequence, we verify Laza-O'Grady's prediction on the Hassett-Keel-Looijenga program for quartic K3 surfaces. This is based on joint work with K. Ascher and K. DeVleming.
Speaker: Yuchen Liu
Institution: Northwestern University