Speaker: 孙锐然副教授，厦门大学

Inviter: 谢松晏副研究员

Title: Rigidity problems on moduli spaces of polarized manifolds

Language: Chinese

Time & Venue: 2025.04.16 17:00-18:00 思源楼S425

Abstract: Motivated by Shafarevich’s conjecture, Arakelov and Parshin established a significant finiteness result: for any curve C, the set of isomorphism classes of non-constant morphisms C → M_g is finite for g≥2. However, for moduli stacks parametrizing higher-dimensional varieties, the Arakelov-Parshin finiteness theorem fails due to the presence of non-rigid families. In this talk, I will review recent advances in rigidity problems for moduli spaces of polarized manifolds, focusing on two main topics: the 1-pointed rigidity property of moduli spaces of polarized manifolds, as well as the distribution of non-rigid families in moduli spaces.