当前位置: 首页 > 学术报告
学术报告 - 函数论方向
Dynamics of Newton maps
王晓光(浙江大学,研究员,优青)
2018-08-07 09:30:00  闵行校区数学楼126

摘要:It is shown that the boundary $\partial B$ of any immediate root basin $B$ of $f$ is locally connected. Moreover, $\partial B$ is a Jordan curve if and only if ${\rm deg}(f|_B)=2$. This implies that the boundaries of all components of root basins, for all polynomials' Newton maps, from the viewpoint of topology, are tame. This generalizes Roesch's groundbreaking work (Annals of Math. 2008) on cubic Newton maps to arbitrary degree.
This work is joint with Yongcheng Yin and Jinsong Zeng.

主持人:程涛