EQUIDISTRIBUTION OF SMALL POINTS ON QUASI-PROJECTIVE VARIETIES

Abstract: For quasi-projective varieties over finitely generated fields, we develop a theory of adelic line bundles including an equidistribution theorem for Galois orbits of small points. In this lecture, we will explain this theory and its application to arithmetic of abelian varieties, dynamical systems, and their moduli. This is a joint work with Xinyi Yuan.

number theory

Audience: researchers in the topic

Columbia CUNY NYU number theory seminar