SIMIS Seminar on Derived and Noncommutative Geometry: Deformation theory, Fukaya’s conjecture and the Gross-Siebert program

报告人： Ziming Ma

摘要： We will revisit the reconstruction problem of a mirror manifold X from a Lagrangian fibration $\check{X} \rightarrow B$ over the SYZ base $B$. We will begin with Fukaya’s conjectural construction using holomorphic disks over tropical trees in $B$ and connect it to the well-known Gross-Siebert construction through a dgLa approach. Time permitting, we will delve into ongoing work that explores how this dgLa approach can link quantum scattering diagrams on $B$ with deformation quantization. This talk is based on joint work with Kwokwai Chan and Naichung Conan Leung.

时间： 16:00-19:00, Monday, December 2, 2024

地点： Room 1410, SIMIS, Block A, No. 657 Songhu Road, Yangpu District, Shanghai