Posted in

Speaker:

Chunhui Liu
Affiliation:

Kyoto University
Date:

Fri, 2018-06-08 11:15 - 12:15
Location:

MPIM Lecture Hall
Parent event:

Number theory lunch seminar By the slope method in Arakelov geometry, we can construct a

family of hypersurfaces which cover the rational points of bounded height on

an arithmetic variety, but do not contain the generic point of this variety.

By estimating some invariants of Arakelov geometry, we can control the

number and the maximal degree of this family of auxiliary hypersurfaces

explicitly. In this talk, I will explain the method of studying the problem

of counting rational points by using methods from Arakelov geometry.

© MPI f. Mathematik, Bonn | Impressum & Datenschutz |