报告人：苏育才
报告地点：人民大街校区数学与统计学院104室
报告时间：2026年09月16日星期三15:40-16:25
邀请人：陈良云
报告摘要：
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.
主讲人简介：
苏育才，同济大学数学研究所所长，数学系特聘教授、博士生导师，主持国家自然科学基金重点项目，国家级高层次领军人才，中国科学院“百人计划”入选者和教育部“跨世纪优秀人才”入选者，享受国务院政府特殊津贴，获教育部自然科学二等奖。主要研究领域为李（超）代数及其表示与相关数学物理问题，在《J. Eur. Math. Soc.》、《Adv. Math.》、《Proc. Lond. Math. Soc.》、《Comm. Math. Phys.》、《Israel J. Math.》、《Math. Z.》等著名期刊发表学术论文100多篇，并担任《Algebra Colloq.》、《数学学报》等杂志编委。
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