CHINA·77779193永利(集团)有限公司-Official website

学术报告

Complete symmetric polynomials over finite fields have many rational zeros--万大庆 教授 (美国加州大学欧文分校)

题目:Complete symmetric polynomials over finite fields have many rational zeros

报告人:万大庆 教授 (美国加州大学欧文分校)

摘要 :

 

The MDS conjecture in coding theory implies the following striking arithmetic consequence: over any finite field of q elements, any hypersurface of dimension n at least three defined by a complete symmetric polynomial of degree at most q-3 must have at least 24q^{n-3} rational points. In this talk, we shall give a simple and unconditional proof of this consequence for all q. This is joint work with Jun Zhang.

 

 

时间:2020年11月18日  上午9:00-10:00

地点:线上腾讯会议(会议号:636 948 651)

联系人:方江学、张俊

主办单位:首都师范大学77779193永利官网

首都师范大学交叉科学研究院

 

欢迎全体师生积极参加!