Lectures on Tu and Th, 1:30-2:50 room 240-101. First meeting Tuesday 1/5.
This course is a topic course for graduate students with advanced basic knowledge in algebraic geometry. This course will cover a selected advanced topics in Gromov-Witten theory and Donaldson-Thomas theory of threefolds. Topics to be covered:
- Virtual cycles, GW and DT invariants;
- Localization technique;
- Degeneration method;
- g=0 GW of quintics;
- Reduced GW and DT invariants of K3 surfaces;
- GW/PT equivarence;
- GW/NL theory;
- Proof of KKV conjectrue
Course prerequisite: DM stacks, moduli of stable maps and sheaves, derived category (working knowledge), intersection theory (after Fulton).
- Office: 380-383Z,
- Office Phone: 723-4508
- E-mail: jli@math.stanford.edu
- Office Hours: by appointment.
Further topics
- (pending)
- (pending)