报告人：温婷婷 (山东大学)

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

摘要：Let Q(y) be any ternary 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.

时间：2023-11-15

地点：明德楼C702