Ball Quotients from Deligne-Mostow Theory and Periods of K3 Surfaces

DIFFERENTIAL GEOMETRY

Speaker:

Zhiwei Zheng - Max Planck Institute for Mathematics

In this talk, I will first briefly review the Deligne-Mostow theory of moduli spaces of weighted points on the projective line, and a construction of ball quotients from periods of (possibly singular) K3 surfaces with non-symplectic group action. Then I will discuss how these two constructions can be unified for some examples. I will focus on a new case about a 6-dimensional family of K3 surfaces with D4-singularity. This is a joint work with Yiming Zhong.

Zoom: https://harvard.zoom.us/j/96709211410?pwd=SHJyUUc4NzU5Y1d0N2FKVzIwcmEzdz09