（萧荫堂）数学源流：从三次多项式根式积分谈起

还好有朋友占了个前排位，花了六个小时染发差点没赶上。前面刚开始的时候up手残没点上但想来那点介绍语也无关紧要所以无妨。这期还是可以的，全是内容，可惜念稿比较催眠所以中途还是稍微睡了一下，醒来之后开始肝明日方舟。如果有机会还是应该去弄一下讲稿（看提问环节也有老师想要www）

萧荫堂，国际知名数学家、美国国家科学院院士、美国艺术与科学院院士、中国科学院外籍院士，主要从事复几何与代数几何的研究。曾任耶鲁大学、斯坦福大学教授，哈佛大学数学系主任。他先后三次受邀参加国际数学家大会作报告（赫尔辛基，1978年；华沙，1983年；北京，2002年)，其中两次为全大会报告。
【报告摘要】
When the degree of the polynomial $P(x)$ is 2, the integral $\int\frac{dx}{\sqrt{P(x)}}$ easily integrates out to an expression involving the inverse sine function. When the degree of $P(x)$ is 3, for example from the simple pendulum problem or from the computation of the arc-length of an ellipse, the situation is completely different. The study of such an integral (known as an elliptic integral) led to the important mathematical developments of the theory of Riemann surfaces, algebraic and K\"{a}hler manifolds, module problems, Hodge structures, and their variations, transcendence problems for numbers and functions, etc. The talk offers a panoramic view. The background material assumed is kept to a minimum to aim for accessibility to a general school-level audience.