江苏省应用数学（中国矿业大学）中心系列学术报告
报告题目：Several Rigidity Theorems under Smooth Deformations
报 告 人：饶 胜 教授（武汉大学）
报告时间：2025/12/11 15:30-16:30
报告地点：腾讯会议：369 888 500
报告摘要：We report on several rigidity theorems concerning smooth deformations of compact complex manifolds. Two main theorems therein can be described as follows. Let Δ be the unit disk in the complex plane, and consider a smooth family of compact complex manifolds over Δ. We show that the subset of Δ over which the fibers are isomorphic to a fixed hyperbolic manifold is either a discrete subset or all of Δ. Furthermore, for a smooth Kähler family over Δ, we prove a similar rigidity result: the set of points where the fibers are isomorphic to a fixed projective manifold with semiample canonical line bundle is also either a discrete subset or the whole Δ. This talk is based on three preprints jointly authored with Jian Chen, Mu-Lin Li, I-Hsun Tsai, Kai Wang, and Mengjiao Wang.
报告人简介：饶胜，武汉大学数学与统计学院教授、博士生导师，2019年获批国家级人才项目，研究方向为多复变与复几何。饶胜与其合作者在复几何领域的多个研究方向(特别是形变理论)得到重要的原创性成果，相关研究成果发表在Invent. Math., J. Math. Pures Appl., J. Algebraic Geom., Compositio Math., Math. Z.等著名期刊。