Geometry & Topology Seminar

Friday, July 22, 2022 2:30 pm - 2:30 pm EDT

Changho Han, Department of Pure Mathematics, University of Waterloo

"Compact Moduli of K3 surfaces with a given nonsymplectic cyclic action"

To construct a moduli space which is itself a compactification of a given moduli space, one needs to enlarge the class of objects in consideration (e.g. adding certain singular curves to the class of smooth curves). After a brief review of the compactifications of the moduli of elliptic curves, I will generalize into looking at various compactifications of the moduli of K3 surfaces with nonsymplectic cyclic actions, and then discuss how those compactifications are birationally related to each other. As an application, I will apply this framework into Kondo's moduli space of sextic K3 surfaces with Z/3Z action. Results come from joint works (in progress) with Valery Alexeev, Anand Deopurkar, and Philip Engel.

This seminar will be held jointly online and in person:

  • Room: MC 5403
  • Zoom information: Meeting ID: 817 1030 9714; Passcode: 063438