Sponsored by
[ Events ]

Activity Search
Sort out
NCTS Differential Geometry Seminar
16:00 - 17:00, November 26, 2020 (Thursday)
Lecture Hall 5F, Cosmology Building, NTU
(臺灣大學宇宙學大樓 五樓演講廳)
Generic Singularities of the Network Flow
Jui-En Chang (National Taiwan University)


In this talk, I’ll present the problem I’m working on and some partial results. In the network flow, singularities may form. They can be described as self-similar shrinking solutions called regular shrinkers. An important problem is that if we perturb the initial network, will the new network flow to the same singularity? All networks with 2 or more enclosed regions can be perturbed away. Therefore, the problem reduces to the network with less than 2 enclosed regions. There are finitely many of them and they are completely classified. Here, I use the entropy argument as in Colding and Minicozzi's work to show that the 4-ray star, the 5-ray star, the fish, and the rocket can be perturbed away.


back to list  
 (C) 2020 National Center for Theoretical Sciences