Modular forms and Gromov-Witten theory (C05)

• Subject Area: Mathematics
• Term: since 2017
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 281071066

We investigate modular forms for a deeper understanding of the interaction between number theory and Gromov-Witten theory. This will be applied to quantum modularity. Insight about Gromov-Witten invariants will be translated to symplectic cobordisms via polyfolds. Applications include new instances of the Weinstein conjecture, a deeper understanding of the categorial structure of the symplectic cobordism relation and higher order intersection problems.

• DFG Programme: CRC/Transregios
• Subproject of: TRR 191: Symplectic Structures in Geometry, Algebra and Dynamics
• Applicant Institution: Universität zu Köln
• Co-Applicant Institution: Universität Münster ; Fachbereich 10 - Mathematik und Informatik; Mathematisches Institut; Ruhr-Universität Bochum
• Project Heads: Professorin Dr. Kathrin Bringmann; Dr. Stefan Suhr; Professor Dr. Kai Zehmisch