Speaker：Ruiran Sun (Xiamen University)

Time：2025-6-16, 15:30

Location：Room C610 & Tencent Meeting ID：886-376-240（No Password）

Abstract:

In his 1962 ICM talk, I. R. Shafarevich proposed profound conjectures about the geometry and arithmetic of moduli spaces of genus g curves. While A. Parshin and A. Arakelov established the function-field case, the celebrated 1983 work of G. Faltings resolved the conjecture for number fields. In this talk, we will give a brief introduction to the moduli space of genus g curves and Shafarevich's conjecture. We will further survey recent advances in the geometry of moduli spaces of polarized varieties, time permitting.