走向现代数学学术报告 - 饶胜教授（No. 551）

报告题目：Deformation limit and invariance of plurigenera of Moishezon varieties

报告人：饶胜教授（武汉大学）

时间：2022年11月24日14:30

地点：腾讯会议ID：281-484-318

摘要：This talk mainly concerns two topics on the deformations of Moishezon varieties. The first one is a long-standing conjecture that the smooth deformation limit of projective or Moishezon manifolds is Moishezon. We will prove this conjecture under some mild condition on the limit fiber. The second one is deformation invariance of plurigenera, particularly on a question of Demailly whether a smooth family of nonsingular projective varieties admits the deformation invariance of plurigenera. We confirm this more generally for a smooth fiberwise Moishezon family, and also prove a flat family case. And several more recent progresses and applications are also discussed. This talk is mainly based on several joint works with I-Hsun Tsai, Yi Li and Runze Zhang.

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.等杂志。