Compact moduli spaces of surfaces: functorial and combinatorial

Date
2017/04/03 Mon 15:00 - 17:30
2017/04/05 Wed 15:00 - 17:30
2017/04/07 Fri 15:00 - 17:30
2017/04/11 Tue 10:00 - 12:30
Room
3号館127大会議室
Speaker
Valery Alexeev
Affiliation
Kyoto University / University of Georgia
Abstract

The lectures will go over several concrete examples of geometric compactifications of moduli spaces of surfaces and surface pairs.

The topics will include, in roughly this order:

  • Dimension 1 case. Weighted curves. Losev-Manin spaces.
  • Toric methods. Moduli of abelian surfaces and their covers.
  • Matroidal methods. Weighted hyperplane arrangements and their covers.
  • Higher-dimensional analogs of Losev-Manin spaces.
  • Losev-Manin spaces for other Lie types.
  • Compactifications of moduli of rational elliptic surfaces and of K3 surfaces.

Poster (PDF)