Topology Seminar
Date: November 11, 2020
Time: 4:00PM - 5:00PM
Location: Zoom
Speaker: Fenglong You, University of Alberta
Title: Relative Gromov-Witten theory and mirror symmetry
Abstract: Gromov-Witten invariants are rational numbers that count curves in algebraic varieties or symplectic manifolds. Given a smooth projective variety X and a codimension one subvariety (i.e. a divisor) D, relative Gromov-Witten invariants count curves in X with tangency conditions along D. While absolute Gromov-Witten theory is known to have many nice structural properties, such as quantum cohomology, WDVV equation, Givental's formalism, Cohomological field theory (CohFT) etc., parallel structural properties were unknown for relative Gromov-Witten theory until recently. In this talk, I will give an overview of some recent progress in relative Gromov-Witten theory including several structural properties and applications to mirror symmetry.