Algebraic Geometry Seminar: Farbod Shokrieh

Given a principally polarized abelian variety $A$ over a number field (or a function field), one can naturally extract two real numbers that capture the ``complexity'' of $A$: one is the Faltings height and the other is the N\'eron-Tate height (of a symmetric effective divisor defining the polarization). I will discuss a precise relationship between these two numbers, relating them to some subtle invariants arising from tropical geometry (more precisely, from Berkovich analytic spaces). (Joint work with Robin de Jong.)