普林斯顿大学张寿武院士访问我院

发布人:高级管理员 发布日期:2017-07-04

主讲人:张寿武 院士(1980级,数学专业),普林斯顿大学

 

  间:20141110 15:00-16:00

 

  点:中山大学南校区新数学楼416讲学室

 

  目:Congruent numbers and elliptic curves

 

  要:

 

A thousand years old problem is to determine which positive integers are congruent numbers, i.e. those numbers which could be the areas of right angled triangle with sides of rational lengths. This problem has some beautiful connections with elliptic curves and L-functions. In fact by the Birch and Swinnerton-Dyer conjecture, all n= 5, 6, 7 mod 8 should congruent numbers, and most of n=1, 2, 3 mod 8 should not not congruent numbers. In this lecture, I will explain these connections and then some recent progress.