中国科学院数学与系统科学研究院
数学研究所
学术报告
拓扑研讨班
Speaker: Takahiro Oba （大阪大学）
Title: Symplectic fillings of unit cotangent bundles of spheres
Time&Venue: 2025年3月26日（星期三） 10:30-11:30 & 南楼N818
Abstract:This talk is concerned with symplectic fillings of contact manifolds. After briefly giving an overview of results on the topology of symplectic fillings, I will present joint work with Myeonggi Kwon, where we give some topological restrictions on symplectic fillings of unit cotangent bundles of spheres. In particular, we show a uniqueness result on diffeomorphism types of them, under certain condition, for the case where the base manifold is a 3-sphere. Additionally, I will explain an application of our result to exact symplectic cobordisms.