*主持人：罗栗 教授

*讲座内容简介：
We characterize simple smooth modules over some infinite-dimensional Z-graded Lie algebras. More precisely, we prove that if one specific element of a Z-graded Lie algebra L locally finitely acts on a simple L-module V, then V is a smooth L-module. These infinite-dimensional Z-graded Lie algebras include the Virasoro algebra, affine-Virasoro algebras, the (twisted, mirror) Heisenberg-Virasoro algebras, the planar Galilean conformal algebra, and many others. This result for untwisted affine Kac-Moody algebras holds unless we change the condition for ``locally finitely" to ``locally nilpotently".

*主讲人简介：
赵开明，加拿大Wilfrid Laurier大学教授。主要研究方向为无限维李代数表示论及非交换代数。曾入选中科院百人计划，并获得加拿大Wilfrid Laurier大学研究教授荣誉。在Adv. Math.、Trans. AMS、Math. Z.、Moscow J. Math.、J. Algebra等杂志发表高水平学术论文140余篇，主持多项国家自然科学基金项目，及加拿大研究理事会基金项目。