庆祝中国科学院数学研究所建所60周年

中科院数学与系统科学研究院

数学研究所

中科院华罗庚数学重点实验室

华罗庚数学讲座

报告人：田 野 研究员（中国科学院数学与系统科学研究院）

题  目：Congruent number problem-- arithmetic of elliptic curves

时  间：11.20(星期二), 09：00--11：00

        (11:00-11:30为茶点时间, 地点: 思源楼一层大报告厅)

地  点：思源楼一层大报告厅

摘要：

The congruent number problem is to find a right triangle with rational sides whose area is a given positive integer. This problem can be traced back at least to 10-th century in Arab manuscripts. It turns out to be a beautiful example of the rich modern theory of the arithmetic of elliptic curves, or it is more accurate to say that this theory grew out of the study of this problem.  In the two lectures, we survey arithmetic theory of elliptic curves and introduce some progress on the congruent number problem.