一、题目

Density of coprime integral points on linear algebraic groups

二、主讲人

曹阳

三、摘要

There are several kinds of density for integral points on algebraic varieties: the density in Zariski topology; the density in adelic topology, which is called strong approximation; and the equidistribution in adelic topology, which is called Hardy-Littlewood property, defined by Borovoi and Rudnick. Classical results shows that all those density holds for nice linear algebraic groups. Then it is a natural question first asked by Wittenberg: are those density still holds after removing a codimension 2 closed subsets? This is equivalent to ask the density of integral points with coprime value for two polynomials. In this talk, I will introduce all of the above notions and then present our results on some cases of Wittenberg’s open question. (This is a joint work with Zhizhong Huang)

四、主讲人简介

曹阳 中国科学技术大学

五、邀请人

赵立璐 数学学院教授

六、时间

3月23日（周二）15:00-17:00

七、地点

腾讯会议

会议ID：208 512 026

八、主办方

山东大学数学学院