Aaron Levin : Diophantine Approximation to Closed Subschemes

Posted by Nicole Looper , part of the Unlikely Intersections Seminar.

At

Sept. 12, 2023, 2 p.m.

In

636 SEO

Abstract

The classical Weil height machine associates heights to divisors on a projective variety. I will give a brief introduction to how this machinery extends to objects (closed subschemes) in higher codimension, due to Silverman, and present various ways to interpret the heights. We will then discuss several recent results in Diophantine approximation in which these ideas play a prominent and central role.