Dylon Chow : Height Functions

Posted by Abel Castillo , part of the Graduate Number Theory Seminar.

At

April 24, 2014, 3 p.m.

In

SEO 512

Abstract

Fundamental to the proofs of several important results in arithmetic geometry (e.g. the Mordell-Weil Theorem and Faltings' Theorem) is a way of assigning a size to points on a variety. Weil's height machine turns geometric properties of the variety into arithmetic information about the points on the variety. If time permits, we will discuss the conjectures of Batyrev and Manin on the distribution of rational points.