报告题目：Generation of 3-manifolds through surgery triads

报 告 人：倪忆 教授 （加州理工学院数学系）

报告时间：2025年7月6日（星期日）15:00-16:00

报告地点：数学科学学院114（小报告厅）      

校内联系人： 杨志青 教授   联系方式：84708351-8612

报告摘要：Surgery triads is an important concept in various versions of Floer homology theories of 3-manifolds. If three 3-manifolds form a surgery triad, then the Floer homology of these three manifolds are usually related by an exact triangle. A strategy of proving certain isomorphism theorems for Floer homology is to use exact triangles and naturality. In order to apply this strategy, we often need finite generation results for a class of 3-manifolds through surgery triads. For example, a folklore theorem asserts that all closed oriented connected 3-manifolds are generated by the 3-sphere through surgery triads.

In this talk, we will review the above strategy and discuss the proof of the above folklore theorem and its generalization to a class of sutured manifolds.

报告人简介：倪忆，加州理工学院数学系教授，研究方向为低维拓扑。2001年获北京大学学士学位，2003年获北京大学硕士学位，2007年获普林斯顿大学博士学位。曾获美国数学研究所五年奖、美国国家科学基金会职业生涯奖、斯隆研究奖。