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2023.07.10、2023.07.11,李年华,副教授,华侨大学,“可积系统及其应用”学术报告
发布时间: 2023-07-10 14:39 作者: 点击: 110

“可积系统及其应用”学术报告

 目:

Induction to Poisson Lie group

报告人:

李年华 副教授  华侨大学

 要:

The introduction of PLGs was motivated by the properties of the monodromy matrices of difference equations describing lattice integrable systems. We shall give the definition of PLGs and show that the infinitesimal object corresponding to a PLG is a Lie bialgebra. The emphasis will be on PLGs defined by r-matrices, and we shall study examples on matrix groups.

 间:

710 星期一 16:30

 点:

逸夫楼1417

 

 目:

Poisson action and momentum mapping

报告人:

李年华 副教授  华侨大学

 要:

An essential ingredient of PLG theory and its applications to integrable system is the notion of a Poisson action. It was necessary to introduce such a generalization of Hamiltonian actions in order to account for the properties of dressing transformations, under the hidden symmetry group, of fields satisfying zero-curvature equation. There is a notion of momentum mapping for Poisson actions, and in a special case it coincides with the monodromy matrix of the linear system.

 间:

711 星期二 9:00

 点:

逸夫楼1417