东南大学数学学院邀请专家申请表
报告人 | Tam Tin-Yau | 单位 | 美国奥本大学 |
报告题目 | 1. Public lecture: Title: 我的三十年河西 2. Research talk: Title: Orbital geometry - from matrices to Lie groups
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报告时间 | 2018.6.7 下午15:30-17:30 | 地点 | 数学学院第一报告厅 |
邀请人 | 陈建龙 | ||
报告摘要 | 1. Public lecture: Title: 我的三十年河西 Abstract: 作为一位数学教授,我将会分享我在美国三十年的经历与感悟。 2. Research talk: Title: Orbital geometry - from matrices to Lie groups Abstract: The celebrated Toeplitz-Hausdorff theorem asserts that the classical numerical range of a square complex matrix is a convex set. Schur-Horn Theorem asserts that the set of the diagonals of Hermitian matrices of a prescribed eigenvalues is the convex hull of the orbit of the eigenvalues under the action of the symmetric groups. These results are about unitary orbit of a matrix. Among interesting generalizations, we will focus our discussion on those in the context of Lie structure, more precisely, compact connected Lie groups and semisimple Lie algebras. Some results on convexity and star-shapedness will be presented.
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报告人简介 | 谭天祐教授于1986年获得香港大学博士学位。现任美国亚拉巴马州奥本大学数学与统计系终身教授、 系主任。主要从事矩阵,多重线性代数,数值域和李群方面的研究。在《Proceedings of American Mathematical Society》,《 SIAM Journal of Matrix Analysis and Applications》,《Linear Algebra and Its Applications》,《Linear and Multilinear Algebra》,《Journal of Algebra》,《 Journal of London Mathematical Society》,《Bulletin of Canadian Mathematical Society》,《Pacific Journal of Mathematics》,《Journal of Japan Mathematical Society》,《 Journal of Differential Geometry and Its Applications》和《Journal of Lie Theory》等国际学术期刊上发表主要学术论文一百篇和研究专著Matrix Inequalities and their Extensions to Lie Groups, CRC/Taylor & Francis Group, 2018。担任国际学术期刊《Linear and Multilinear Algebra》, 《Electronic Linear Algebra》,《Special Matrices》的编委,《Alabama Journal of Mathematics》的主编,美国《Mathematical Reviews》及德国《Zentralblatt Math》的评论员;曾被邀请共同撰写《Handbook of Linear Algebra》;多次组织国际数学会议。
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