## CYMS Seminar - Fenglong You (University of Alberta)

### 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.