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几何与信息流研究所学术报告(夏炜副教授,重庆理工大学)

来源:系统管理员 发布时间:2025-12-05

报告题目:Obstructions of deforming complex structures and cohomology contractions

报告人:夏炜副教授,重庆理工大学

报告时间:2025128日(周一)10:00-11:00

报告地点:腾讯会议 413 477 664

报告摘要:It is a well-known result of Clemens-often referred to as Kodaira's principle-that on a compact Kähler manifold the obstruction classes to deforming the complex structure are annihilated by contraction with Dolbeault cohomology classes. We will consider some generalizations of this result to non-K\ahler manifolds. In particular, we show the obstructions of deforming complex structures is related to deformations of filtered forms. This is a joint work with Xueyuan Wan.

报告人简介:夏炜,重庆理工大学数学科学研究中心副教授,研究方向为复几何。在Calabi-Yau流形的几何以及复结构的形变等方面做出了一些原创性成果,相关研究发表在《Sci. China Math.》、《Math. Z.》等期刊上。

邀请人:汤凯