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On the $SU(n+1)$ Toda system
2018-05-03 00:00:00

报告题目:

On the $SU(n+1)$ Toda system

报 告 人:

杨文 (武汉数学物理研究所)

报告时间:

2018年05月04日 16:30--17:30

报告地点:

理学院东北楼四楼报告厅(404)

报告摘要:

In this talk, we will first discuss the local masses of this Toda system with $ngeq2$. By using Pohozaev identity and the monodromy theory from complex ODE, we are able to determine the local masses for the system and it turns out that the local masses are closely related to the element in the Weyl group of the corresponding Lie algebra. Based on this quantization result, the a priori estimate and some existence results of this system are obtained.