Enumerative Geometry (2025–2026)

This is the unofficial webpage of the 30 hours course Enumerative Geometry, delivered in the academic year 2025–2026 to the SISSA PhD program.

Schedule

Venue: Tuesday 9:00–11:00 and Thursday 14:00–16:00 in Dubrovin Lecture Room (136), starting Thursday February 12th.
The lectures on February 24th and February 26th are cancelled.

Material, Bibliography

• A. Ricolfi, An invitation to modern enumerative geometry, Springer (2022)
• Lecture notes.

Possible exam topics

• Kontsevich's recursive formula for rational plane curves
• K-theoretic localisation
• The Hilbert scheme of the resolved conifold
• Almost perfect obstruction theories
• The Behrend function
• Motivic DT invariants
• The 5 conics problem
• ...