学术报告:2018年6月12日上午10:00-11:00,Liqun Qi 教授,The Hong Kong Polytechnic University

发布时间:2018-06-05浏览次数:13

东南大学数学学院邀请专家申请表

报告人

Liqun Qi

单位

The Hong Kong Polytechnic University

报告题目

Minimal Integrity Bases of   Invariants of Second Order Tensors in a Flat Riemannian Space

报告时间

612日上午10:00-11:00

地点

数学学院第一报告厅

邀请人

徐毅

报告摘要

In this talk, we study invariants of second   order tensors in an n-dimensional flat Riemannian space.   We   define eigenvalues, eigenvectors and characteristic polynomials for second   order tensors in such an n-dimensional Riemannian space and show that the coefficients   of the characteristic polynomials are real polynomial invariants of that   tensor.   Then we give minimal integrity bases for second order   symmetric and antisymmetric tensors, respectively, and study their special   cases in the Minkowski space and applications in electrodynamics, etc.

报告人简介

Liqun Qi is now Professor of Applied Mathematics and Head of   Department of Applied Mathematics at The Hong Kong Polytechnic University.   Professor Qi has published more than 200 research papers in international journals.   He established the superlinear and quadratic convergence theory of the semismooth   Newton method, and played a principal role in the development of   reformulation methods in optimization. Professor Qi’s research work has been   cited by the researchers around the world. According to the authoritative   citation database www.isihighlycited.com, he is one of the world’s most   highly cited 300 mathematicians. In   2005,Professor Qi pioneered the research on eigenvalues for higher order tensors,   which now has applications in biomedical engineering, statistical data   analysis, spectral hypergraph theory, solid mechanics, etc. In 2010,   Professor Qi received the First Class Science and Technology Award of Chinese   Operations Research Society