Fenglong You, University of Alberta
"Structures of relative Gromov-Witten theory"
Gromov-Witten theory is considered as the first modern approach in enumerative geometry. Absolute Gromov-Witten invariants provide virtual counts of curves in smooth projective varieties/orbifolds. It is known to have many nice structural properties, such as quantum cohomology, WDVV equation, Givental's formalism, mirror theorem, CohFT etc.. In this talk, I will explain how to obtain parallel structures for relative Gromov-Witten theory via the relation between relative and orbifold Gromov-Witten invariants. If time permits, I will also talk about some applications to mirror symmetry. This is based on joint works with Honglu Fan, Hsian-Hua Tseng and Longting Wu.
MC 5403