Introduction to the Gross-Siebert program
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Michel van Garrel
- Log geometry in the Gross-Siebert program
Peter Overholser
- Affine geometry and mirror symmetry
Helge Ruddat
- Reconstructing Calabi-Yau manifolds, periods and cycles
Schedule:
May 7:
9:30 – 11:00 Introduction to the Gross-Siebert program (Ruddat)
11:30 – 13:00 Log geometry and counts of stable log maps (Garrel)
14:30 – 16:00 Toric degenerations, affine manifolds (Overholser)
16:30 – 18:00 Exercise and question session
May 8:
9:30 – 11:00 Scattering and reconstruction of Calabi-Yau manifolds from degeneration data (Ruddat)
11:30 – 13:00 Tropical geometry and curve counting (Overholser)
14:30 – 16:00 Curve counting and a theorem by Nishinou-Siebert (Garrel)
16:30 – 18:00 Exercise and question session
May 9:
9:30 – 11:00 Scattering, tropical geometry, and mirror symmetry for P2 (Overholser)
11:30 – 13:00 Periods, tropical cycles and canonical coordinates (Ruddat)
14:30 – 16:00 The tropical vertex (Garrel)
16:30 – 18:00 Exercise and question session
May 10:
9:30 – 11:00 Directions from tropical mirror symmetry for P2 (Overholser)
11:30 – 13:00 Relative BPS state counts (Garrel)
14:30 – 16:00 Conifold transitions and a proof of Morrison's conjecture (Ruddat)
14:30 – 16:00 Conifold transitions and a proof of Morrison's conjecture (Ruddat)
16:30 – 18:00 Exercise and question session
18:30 Onwards workshop dinner