Keynote Speaker:Cao Yang

Abstract:

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)

Speaker Introduction:

Cao Yang,University of Science and Technology of China

Inviter:

Zhao Lilu Professor of School of Mathematics

Time:

15:00-17:00 on March 23 (Tuesday)

Location:

Tencent Meeting, Meeting ID: 208 512 026

Hosted by: School of Mathematics, Shandong University