Mini-Course：On the structure of the NLS hierarchy

报 告 人：Robert Wegner (KIT, 卡尔斯鲁厄理工学院)

报告时间：2025年12月16日（星期二）10:00—11:30；2025年12月23日（星期二）10:00—11:30

报告地点：数学科学学院114（小报告厅）      

校内联系人：廖娴 教授         联系方式：84708351-8510

Abstract: In the first course, we discuss the definition of the Hamiltonians of the NLS hierarchy via direct scattering theory, and how to prove things about them. This involves working with recurrence relations and their generating functions.

In the second course, we discuss formal results on the structure of the Hamiltonians of the NLS hierarchy. As a result, we are able to prove the well-posedness of the NLS hierarchy in the setting of nonzero boundary data, and its approximation in the long-wave regime by the KdV hierarchy.