数学研究所
中国科学院华罗庚数学重点实验室
学术报告
多复变与复几何研讨班
SCV&CG Seminar
Speaker: 孙锐然 副教授（厦门大学）
Inviter: 谢松晏 副研究员
Language: Chinese
Title: Rigidity problems on moduli spaces of polarized manifolds
Time&Venue: 2025.4.16（星期三）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.
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