06-12【尹洪波】Zoom(275 558 7100,cubic)吴文俊数学重点实验室代数学系列报告之165

发布者:卢珊珊发布时间:2020-06-09浏览次数:10

题目:Cubic sum problem and singular moduli


报告人:尹洪波,山东大学


时间:2020年6月12日 下午 04:30  (北京时间)


zoom会议id: 275 558 7100

    

密码: cubic


摘要:One interesting question in number theory is to determine whether an integer can be written as the sum of two rational cubes. Sylvester conjecture predicts that for every prime p congruent to 4, 7, 8 the answer is positive. This conjecture is quite open and only has some partial result in 4,7 case.

In this talk, I will introduce cubic sum problem's history and progress. I will also talk about my recent work on the 8 case of Sylvester conjecture which is the first general result and where the theory of singular moduli plays a role surprisingly.