(I)报告题目：Duality for group Representations

报告人：Deguang Han教授, University of Central Florida, America

摘要: There is an abstract version of the Gabor systems duality principle for group representations, and it is known that this duality principle has some connections with the classification problem for free-group von Neumann algebras. In this talk I will revisit this general duality principle, and discuss some recent both trivial and nontrivial observations that lead to a generalization of the Wexler-Raz biorthogonality and the Fundamental Identity for Gabor representations to general group representations. Additionally, I will also discuss a duality principle connecting the ``super-frames" and ``muti-frames" through a commutant dual pair of group representationsDuality for Group RepresentationsDuality for Group RepresentationsDuality for Group RepresentationsDuality for Group RepresentationsThere is an abstract version of the Gabor systems duality principle for group representations, and it is known that this duality principle has some connections with the classification problem for free-group von Neumann algebras. In this talk I will revisit this general duality principle, and discuss some recent both trivial and nontrivial observations that lead to a generalization of the Wexler-Raz biorthogonality and the Fundamental Identity for Gabor representations to general group representations. Additionally, I will also discuss a duality principle connecting the ``super-frames" and ``muti-frames" through a commutant dual pair of group representations

报告时间：2019年6月5日（星期三）下午 16:00-17:00

(II)报告题目：Jordan Derivations on Rings

报告人：Wu Jing教授, Fayetteville State University, America

摘要: We proved that every Jordan derivation on a triangular ring is a derivation. Moreover, we show that, under some conditions, every Jordan derivation on a 2-torsion free ring is a derivation.There is an abstract version of the Gabor systems duality principle for group representations, and it is known that this duality principle has some connections with the classification problem for free-group von Neumann algebras. In this talk I will revisit this general duality principle, and discuss some recent both trivial and nontrivial observations that lead to a generalization of the Wexler-Raz biorthogonality and the Fundamental Identity for Gabor representations to general group representations. Additionally, I will also discuss a duality principle connecting the ``super-frames" and ``muti-frames" through a commutant dual pair of group representationsDuality for Group RepresentationsDuality for Group RepresentationsDuality for Group RepresentationsDuality for Group Representations

报告时间：2019年6月5日（星期三）下午 17:00-18:00

报告地点：扬州大学瘦西湖校区数学科学学院28号楼104报告厅

主办单位：扬州大学数学科学学院

欢迎广大师生参加！