报告人：Yi Ni Professor ( Caltech)

主持人：邹燕清  

直播渠道：ZOOM房间号：274 175 4144 密码：930643

https://cernet.zoom.com.cn/j/2741754144?pwd=TzRiV0gwT2l0NU1CRWtmODlpRUdrZz09

报告时间：2020年6月20日 10：00-11：00

报告人简介：Yi Ni, Professor in Caltech, NSF Career Award; Alfred P. Sloan Research Fellowship; Clay Liftoff Fellowship, Clay Mathematics Institute.

报告内容简介：Let K be a null-homologous knot in a closed 3-manifold Y, and F be a Seifert surface. One can cap off the boundary of F with a disk in the zero surgery on K to get a closed surface F_0. If we know that F is Thurston norm minimizing, we can ask whether F_0 is also Thurston norm minimizing. A classical theorem of Gabai says that the answer is Yes when Y is the 3-sphere. Gabai's theorem can be generalized to many other 3-manifolds using Heegaard Floer homology. In this talk, we will discuss a sufficient condition for F_0 to be Thurston norm minimizing which relates this property to the 4-genus of the knot.