*时间：2021年11月27日8:00-9:20

*地点：腾讯会议ID：269953698

*主讲人：Tao Li 教授（Boston College）

*主持人：邹燕清 研究员

*讲座内容简介：

Let $W$ be the exterior of a knot in a homology sphere and let $M$ be an amalgamation of $W$ and any other compact 3-manifold along boundary torus. Let $N$ be the manifold obtained by pinching $W$ into a solid torus. This means that there is a degree-one map from $M$ to $N$. We prove that the Heegaard genus of $M$ is at least as large as the Heegaard genus of $N$. An immediate corollary is that the tunnel number of a satellite knot is at least as large as the tunnel number of its pattern knot.

*主讲人简介：

Tao Li 教授，AMS fellow, 2014 ICM 45min speaker,  Simons followship,  Sloan fellowship, 解决了关于三维流形的Waldhausen  猜想。