Seminar Event Detail

Algebraic Geometry

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

Event Organizer:     


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