Time：15:00-16:00, June 27 2025
Venue：E4-233
Speaker：Yulin Cai, Hangzhou Innovation Institute of Beihang University
Title：Arithmetic Hilbert-Samuel formule and equidistribution theorem for singular metrics
Abstract：We will define the arithmetic volumes of compactified divisors on quasi-projective varieties over adelic curves and show the corresponding Hilbert-Samuel formula. We then use our result to show the equidistribution theorem for relatively nef case over number fields. If the time allows, we will present our equidistribtion theorem on quasi-projective over finitely generated field which shows Yuan-Zhang’s equidistribution conjecture. This is a joint work with Debam Biswas.
