主讲人:苏育才 集美大学教授
时间:2026年6月16日10:00
地点:徐汇校区三号楼301室
举办单位:必威西汉姆联
主讲人介绍:苏育才,集美大学和同济大学特聘教授,博士生导师,主要从事代数学中的李理论、数学物理中的共形场论、理论物理中的超对称性等方面的研究。先后主持国家自然科学重点基金、国家自然科学面上基金、上海市优秀学术带头人计划等省部级以上基金多项。任Algebra Colloquium、数学学报杂志编委。在J.Eur.Math.Soc., Adv. Math., Comm. Math. Phys., Proc. London Math. Soc., Math. Z., Israel J.Math. 等20 多种国际期刊上发表论文100 多篇。MathSciNet 数据显示苏育才的论文被引用1855 篇次,H指数是24。
内容介绍:It is well known that Virasoro elements play an extremely important role in the theory of vertex operator algebras, and likewise a very significant role in the field of conformal algebras. In this talk, we introduce the notion of a regular action in the category of conformal modules over Lie conformal algebras with Virasoro elements. We show that a finite conformal module over the general conformal algebra of rank 1 (resp., rank N with N>1) is semisimple if and only if there exists a pair of different Virasoro elements (resp., canonical Virasoro elements) with regular actions. Along the way to finding a semisimplicity criteria, we also discuss the classification of Virasoro elements of general conformal algebras, leading us to construct a huge number of new Virasoro conformal modules. This is a joint work with Chunguang Xia.
