Cauchy's interlacing inequalities and semisimple Lie algebras

We will discuss Cauchy’s interlacing inequalities for the eigenvalues of a Hermitian matrix and its principle submatrices. We will discuss their relatives, for example, interlacing inequalities for the singular values of a complex matrix and its submatrices. We seek a possible unified treatment for different interlacing inequalities in the context of semisimple Lie algebras.

举办单位：数学与统计学院

发 布 人：吴双 发布时间： 2018-08-06

发 布 人：吴双 发布时间： 2018-08-06

Tin-Yau Tam, professor and department chair of Mathematics and Statistics at the University of Nevada, Reno, USA. He obtained his Ph.D. from the University of Hong Kong in 1986. He have taught at the City University of Hong Kong and then joined Auburn University in 1988 and University of Nevada, Reno in 2018. His research interest includes Lie groups and Lie algebras, numerical range and its generalization, Multilinear algebra, and their applications. He published about 80 papers and has been and has been guest editor of some special issues of Linear and Multilinear Algebra. He gave numerous talks in different conferences and meetings. He is on the editorial board of Linear and Multilinear Algebra, Electronic Journal of Linear Algebra, Proyecciones Revista de Matematica. He serves on the Board of Directors of the International Linear Algebra Society (ILAS).