Effective Torelli Theorems (A22)

• Subject Area: Mathematics
• Term: since 2021
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 286237555

The classical Torelli theorem states that an algebraic curve is determined by its period integrals. In our project, we plan to make this theorem and its far-reaching generalizations effective, that is, to reconstruct equations of the variety starting from its periods. We will concentrate on irreducible holomorphic symplectic manifolds with additional structure, such as extra symmetry.

• DFG Programme: CRC/Transregios
• Subproject of: TRR 195: Symbolic Tools in Mathematics and their Application
• Applicant Institution: Rheinland-Pfälzische Technische Universität Kaiserslautern-Landau
• Project Heads: Professor Dr. Daniele Agostini, since 1/2025; Professor Dr. Simon Brandhorst