Department of Mathematics and Statistics

Department of Mathematics and Statistics
Department of Mathematics and Statistics

Calabi-Yau Manifolds & Mirror Symmetry Seminar


Thursday, October 17th, 2019

Time: 2:30 p.m Place: Jeffery Hall 319

Speaker: Fenglong You (University of Alberta)

Title: Relative Gromov--Witten theory and mirror symmetry

Abstract: 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.. Relative Gromov--Witten invariants study the virtual counts of curves in varieties with tangency conditions along a divisor. In this talk, I will give an overview of some recent developments on parallel structures of relative Gromov--Witten theory. If time permits, I will also talk about some applications such as SYZ mirror symmetry and Doran--Harder--Thompson conjecture.