报告人：饶胜（武汉大学）

邀请人：卢文

报告时间：2021年6月22日（星期二）10：00-11：30

报告地点： 科技楼（南楼）702室

报告题目：Two transformations of complex structures: deformation and blow-up

报告摘要：We will introduce our three works on two transformations of complex structures:deformation and blow-up. We prove that the p-Kahler structure with the so-calledmild ddbar-lemma is stable under small differentiable deformation. This solves a problem of Kodaira in his classic and generalizes Kodaira-Spencer's local stability theorem of Kahler structure. Using a differential geometric method, we solve a logarithmic dbar-equation on Kahler manifold to revisit Deligne's degeneracy theorem for the logarithmic Hodge to de Rham spectral sequence at E1-level and Katzarkov-Kontsevich-Pantev's unobstructedness of the deformations of a log Calabi-Yau pair. Finally, we will introducea blow-up formula for Dolbeault cohomologies of compact complex manifolds by introducing relative Dolbeault cohomology.

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。饶胜教授与刘克峰教授等合作者在复几何领域多个研究方向得到重要的原创性成果，相关研究成果发表在Invent. Math., JAG, JMPA, Compositio Math.等著名杂志。