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# Wei Ho : Families of lattice-polarized K3 surfaces

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.

**Category**: Number Theory**Duration**: 01:04:53**Date**: November 13, 2013 at 1:55 PM**Views**: 109-
**Tags:**seminar, UNC-Duke Number Theory Seminar

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