SIMIS Seminar on Derived and Noncommutative Geometry: Higher genus Gromov-Witten correspondences for smooth log Calabi-Yau pairs

Speaker: Benjamin Zhou, YMSC

Time: Tuesday, May 20, 16-19,
Locationg: Room 1110, SIMIS

Abstract:
We describe higher genus correspondences between open, closed, and logarithmic Gromov-Witten invariants that can be defined from a smooth log Calabi Yau pair (X, E) consisting of a toric Fano surface X with a smooth elliptic curve E. Methods such as the degeneration formula for GW-invariants, Topological Vertex, and some constructions from Gross-Siebert mirror symmetry are used. As an application, we describe an equivalence of quantum periods in the context of mirror symmetry for Fano manifolds and its enumerative significance.