报告题目： 追随伽利略-谈张量理论及应用
报告时间： 2017年8月13日，上午9:30-11:00
报告地点： 文理楼254
报 告 人： 祁力群教授
摘要：
Tensors, as geometric objects that describe linear or multi-linear relations between geometric vectors, scalars and other tensors, have provided a concise mathematical framework for formulating and solving practical physics problems in various areas such as relativity theory, fluid dynamics, solid mechanics and electromagnetism, etc. The concept of tensors can be traced back to the works by Carl Friedrich Gauss (1777-1855), Bernhard Riemann (1826-1866) and Elwin Bruno Christoffel (1829-1900), etc., in the 19th century on differential geometry. It was further developed and analyzed by Gregorio Ricci-Curbastro (1853-1925), Tullio Levi-Civita (1873-1941), and others, in the very beginning of the 20th century. A mathematical discipline on tensor analysis gradually emerged and was even applied in general relativity by the great scientist Albert Einstein (1879-1955) in 1916.
While tensors such as piezoelectric tensors and elasticity tensors have been used in physics and mechanics for more than one century, the study on spectral properties of these tensors is still very new. The fundamental principle of Galileo Galilei (1564-1642) who has played a pioneer role in the scientific revolution of the seventeenth century and is regarded as the father of science, is to study the rules and insights of the nature, while mathematics is the basic tool in this process. Inspired by this principle, the mathematical analysis on spectral properties have been studied for tensors in liquid crystal study, piezoelectric effects, solid mechanics, quantum entanglement problems, etc. More spectral properties of tensors in physics and mechanics awaits being exploited.
报告人简介：
祁力群教授，中国著名数学家，1968年毕业于清华大学计算数学系， 分别于1981年和1984年在威斯康星大学计算机科学系获硕士及博士学位。 曾在清华大学，美国威斯康星大学，澳大利亚新南威尔士大学和香港城市大学执教，目前在香港理工大学应用数学系担任讲座教授。
他已在国际著名期刊上发表300余篇论文，建立的半光滑牛顿法的超线性和二次收敛理论，在优化重构中起到关键作用。根据2003年权威引文数据库统计，他是世界上被引用最多的345位数学家之一，在微软学术统计中，他在控制与优化方向27033名国际科学家中 H-index 排名16. 他还是十余个国际期刊的主编或副主编，主持了15场在澳大利亚，意大利，香港和中国大陆召开的国际学术会议。
2005年，他开创了高阶张量特征值这一崭新方向，现已广泛应用于生物医学工程，统计数据分析，超图谱理论，固体力学和量子力学等领域，至今已有110余篇张量相关论文发表在国际学术期刊上。 他已在张量领域完成两本专著，其中《张量分析：谱理论和特殊张量》于2017年4月已由SIAM出版，《张量特征值及其应用》近期将由Springer出版。
理学院科技处 国际合作与交流处
2017-08-09