Reading group on Moduli of K3 surfaces
The goal of this semester is to get through the proof of global Torelli theorem. The meeting time is Friday at 1pm, in SEO 612.
Schedule
- Week 3 (Sep 13, Jesse): Beauville’s chapter 1.
- Week 4 (Sep 20, Hank): Beauville’s chapter 2.
- Week 5 (Sep 27, Edward): Beauville’s chapter 8 - Intro to K3.
- Week 6 (Oct 4, Sixuan): Linear systems on K3.
Reference(s): Huybrechts' Lectures on K3 surfaces.
- Week 7 (Oct 11, Phil): Nef cone, Weyl group.
- Week 8 (Oct 18, Anh): Deformations of complex manifolds.
Reference(s): Schnell's notes.
- Week 9 (Oct 25, Hank): Kuranishi families.
- Week 10 (Nov 1, Sixuan): Period map for K3, local Torelli.
- Week 11 (Nov 8, Edward): Hyperkahler structure.
- Week 12 (Nov 15, Anh): Kulikov models.
Reference(s): Persson and Pinkham's Degeneration of Surfaces with Trivial Canonical Bundle, Kulikov's original paper.
- Week 13 (Nov 22, Hank): Proof of Global Torelli.
Reference(s): Friedman's A New Proof of the Global Torelli Theorem for K3 Surfaces.
- Week 15 (Dec 6, Anh): Proof of Global Torelli.
Reference(s): Friedman's A New Proof of the Global Torelli Theorem for K3 Surfaces.