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Geometry & Topology SeminarExport this event to calendar

Friday, October 4, 2019 — 2:30 PM EDT

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

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