Periods of Calabi-Yau varieties and Gromov-Witten invariants

The seminar "Geometry, Arithmetic and Differential Equations of Periods" (GADEPs), started in the pandemic year 2020 and its aim is to gather people in different areas of mathematics around the notion of periods which are certain multiple integrals. This is the second GADEPs conference focused on periods and Hodge theory of Calabi-Yau varieties with applications toward computing Gromov-Witten invariants. The study of higher genus Gromov-Witten invariants is one of the core problems in both symplectic and enumerative algebraic geometry. For Calabi-Yau threefolds, mirror symmetry invented by physicists has made remarkable conjectures on the differential structures of higher genus Gromov-Witten invariants known as BCOV. It uses the Hodge theory and periods of the mirror Calabi-Yau threefold. Recently, there has been many progress both in the mathematical framework of BCOV using enhanced Calabi-Yau varieties and also in proving these conjectures rigorously for quintic. The main aim of the workshop, is to gather experts ranging from enumerative algebraic geometry and Hodge theory to symplectic geometry.