（Robert Bryant）从力学，到代数，到几何：Holonomy的概念

这次哥们开头稍微听懂了一些，可惜没学过微分几何和微分流形导致后面听不懂了。但怎么说确实比昨天那场好不少，至少教授不是站桩念稿了。甚至还有实物演示，可惜拍摄视角不太好可能看不见。

Robert Bryant教授是国际知名数学家；研究方构为几何和数学物理，现任美国杜克大学数学院院长，曾任美国数学会主席。由于其杰出的数学成就，Robert Bryant教授获选为美国国家料学院院土、美国艺术与科学院院士、美国数学会会士和美国科学促进会会士。他还是斯隆奖获得着和国际数学家大会邀请报告人（1986）
【报告摘要】
Familiar mechanical phenomenon, Such as driving and parking a car, rolling a ball, and even the ability of falling cats to land on their feet (usually)  are examples of an underlying mathematical concept that in the 19th century, became to be known as "holonomy". As it became better understood, mathematicians and physicists began to realize that holonomy underlay many different phenomena, from the everyday situations mentioned above to understanding the curvature of space in Einstein's theory of general relativity. Currently, holonomy lies at the heart of both deep mathematical objects and high-energy physical theories such as string theory and the still-mysterious M-theory, on which many theoretical physicists would like to base a "theory of everything".
In this talk, after discussing some holonomic phenomena in everyday life, I'll explore their underlying commonality and their appearance in more advanced situations and try to provide some insight into why this idea has turned out to be so fundamental.