Project Details
Gromov–Witten theory and orthogonal modular forms (A10*)
Subject Area
Mathematics
Term
since 2026
Project identifier
Deutsche Forschungsgemeinschaft (DFG) - Project number 444845124
The goal of this project is to relate the Gromov–Witten series of K3 and abelian surface fibrations to modular forms for orthogonal groups, which appear naturally in the geometry of moduli spaces of K3 and abelian surfaces. The classical Enriques surface is a basic test case for which we aim to prove general modularity results. On the modular forms side, we intend to study spaces of orthogonal quasimodular forms and regularizations of divergent Borcherds lifts of meromorphic Jacobi forms.
DFG Programme
CRC/Transregios
Applicant Institution
Goethe-Universität Frankfurt am Main
Project Heads
Professor Dr. Jan Hendrik Bruinier; Professor Dr. Georg Oberdieck
