EVENT DETAILS AND ABSTRACT

Title: Families of lattice-polarized K3 surfaces
Speaker: Wei Ho
Speaker Info: Columbia
Brief Description:
Special Note:
Abstract:

There are well-known explicit families of K3 surfaces equipped with a low degree polarization, e.g., quartic surfaces in P^3. What if one specifies multiple line bundles instead of a single one? We will discuss representation-theoretic constructions of such families, i.e., moduli spaces for K3 surfaces whose Neron-Severi groups contain specified lattices. These constructions, inspired by arithmetic considerations, also involve some fun geometry and combinatorics.

This is joint work with Manjul Bhargava and Abhinav Kumar.