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

Abstract：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.

Speaker：Doctor Tingting Wen，Shandong University

Date：15:00pm-17:00pm 2023-9-15（Friday)

Venue: School of Mathematical Science 402

Organizer：School of Mathematical Science

Students and teachers who are interested in Number Theory are welcome.