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
