Title：Vortex Filament on Symmetric Lie Algebras and Generalized Bi-Schr\odinger Flows

Speaker：丁 青   教授    （复旦大学）

Time：2019年11月7日（周四）       下午   16:00-17:00

Room：东区管理科研楼   0029cc金沙贵宾会1418室

Abstract：In this talk, we display an evolving model on symmetric Lie algebras from a purely geometric way by using the Hamiltonian (or para-Hamiltonian) gradient flow of a fourth order functional called generalized bi-Schr\odinger flows, which corresponds to the Fukumoto-Moffatt's model in the theory of the vortex filament in physical, in $\mathbb R^3$. The theory of vortex filament in $\mathbb R^3$ or $\mathbb R^{2,1}$ up to the third-order approximation is shown to be generalized to symmetric Lie algebras in a unified way.