主持人:邹燕清
直播渠道:ZOOM房间号:274 175 4144 密码:930643
//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.