报告题目：The number of rational points on a class of singular cubic hypersurfaces

报告简介：Let Q(y) be any positive definite quadratic form with integral coefficients. The equation x^3 = Q(y)z represents a class of singular cubic hypersurfaces. In this talk, we mainly introduce the quantitative behaviour of rational points on these hypersurfaces, and describe the ideas, methods, and some related results. This is motivated by Manin's conjecture, which predicts the asymptotic formula of rational points on algebraic varieties. This is a joint work with Yujiao Jiang and Wenjia Zhao.

报告人：温婷婷, 山东大学博士生。研究方向为解析数论, 主要研究兴趣为二次型理论，有理点问题及Manin 猜想。现已发表学术论文与综述文章各一篇。

报告时间：2023年9月15日（星期五）下午 3:00-5:00

报告地点：数科院 402

主办单位：扬州大学数学科学学院

欢迎广大师生参加！