Topics and references

This is an algebraic geometry topic course on K3 surfaces.

Reference: Lectures on K3 surfaces, D. Huybrechts (available on internet)

Course description

1. Algebraic and complex surfaces;
2. Curves on K3 surfaces;
3. Hodge structures;
4. Moduli of polarized K3 surfaces;
5. Periods;
6. Moduli of sheaves on K3 surfaces;
7. Torelli;
8. rational curves on K3 surfaces.

Prerequisite

• familiar with basic algebraic geometry.

Course Logistic

• Meeting Time:MWF, 11-11:50AM;
• And Location: Herrin T185;

Contact Information

• Office: 380-383Z,
• And Office Phone: 723-4508
• E-mail: jli@math.stanford.edu
• Office Hours: by appointment.