Compact moduli spaces of surfaces: functorial and combinatorial

開催日時
2017/04/03 月 15:00 - 17:30
2017/04/05 水 15:00 - 17:30
2017/04/07 金 15:00 - 17:30
2017/04/11 火 10:00 - 12:00
場所
3号館127大会議室
講演者
Valery Alexeev
講演者所属
Kyoto University / University of Georgia
概要

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.

ポスター (PDF)