Back to Algebraic Geometry Seminar: Spring 2021
Algebraic Geometry Seminar
Date: Wednesday, Jan 20, 2021
Time: 3:30PM - 4:30PM
Location: Zoom
4 pm
Kristin DeVleming
University of California San Diego
Title |
K moduli of quartic K3 surfaces |
Abstract |
We will introduce a family of compactifications of the moduli space of quartic K3 surfaces from K-stability, focusing in detail on the locus of hyperelliptic K3s that arise as double covers of P1xP1 branched over a (4,4) curve. We will show that K stability provides a natural way to interpolate between the GIT moduli space and the Baily-Borel compactification and will relate this interpolation to VGIT wall crossings, verifying predictions of Laza and O’Grady. This is joint work with Kenny Ascher and Yuchen Liu. |
Algebraic Geometry