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: 
127 Conference Room, Building No.3
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)