报告人  ：陈正祥讲师

          首都师范大学

报告题目：STABILITIES OF HOMOTHETICALLY SHRINKING YANG-MILLS SOLITONS

报告时间：2016年03月03日 下午16:00

报告地点：海韵实验楼105

学院联系人：

报告摘要：We introduce entropy-stability and F-stability for homothetically shrinking Yang-Mills solitons, employing entropy and the second variation of the F-functional respectively. For a homothetically shrinking soliton which does not descend, we prove that entropy-stability implies F-stability. Two byproducts are also included: We show that the Yang-Mills flow in dimension four cannot develop a Type-I singularity, and we obtain a gap theorem for homothetically shrinking solitons. This is joint work with Yongbing Zhang.

报告人简介：陈正祥，首都师范大学数学系讲师，2013年于德国弗莱堡大学取得博士学位，2013-2015年于中国科学院数学与系统科学院做博士后。研究方向为几何分析，已在Calc. Var. PDE, Trans. AMS等SCI杂志发表论文。

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