EVENT DETAILS AND ABSTRACT

Title: Higher genus open/closed Gromov-Witten correspondences of log Calabi-Yau surfaces
Speaker: Ben Zhou
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Abstract:

I will describe two ways to arrive at higher genus open Gromov-Witten invariants from a log Calabi-Yau surface X with smooth anti-canonical divisor D, via 1) tropical curve counting and Gross-Siebert mirror symmetry applied to (X,D) and 2) the degeneration formula for Gromov-Witten invariants applied to a projective bundle on X. This is part of joint work with Gräfnitz, Ruddat, and Zaslow to extend to higher genus their recent work showing the proper Landau-Ginzburg superpotential is the open mirror map of an Aganagic-Vafa brane.