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报告题目：Projective, Moishezon and Kahler loci of family I

报告人：饶胜 教授(武汉大学)

摘要:

This talk mainly concerns the projective, Moishezon and Kahler loci of a family. We will start from a long-standing conjecture that the smooth deformation limit of projective or Moishezon manifolds is Moishezon. We prove this conjecture under some mild condition on the limit fiber. Then we talk about the much related  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，武汉大学教授，2019年国家优青，研究方向复几何。相关论文发表在Invent. Math, Journal of algebraic geometry, JMPA, Compositio Math等著名杂志。

报告时间：2023年7月11日（周二）上午10:00-11:30

报告地点：校本部教二楼711教室

邀请人：张利友