This is a followup discussion meeting on complex and algebraic geometry involving the below speakers.1. Jose Ignacio Butgos GilArakelov theory, equidistribution and algebraic dynamics: The famous Bogomolov conjecture states that, given a curve C of genus bigger or equal than 2 and defined over a number field, then there exists a number ε > 0 such that the set of algebraic points of C whose N eron–Tate height is smaller that ε is finite. This conjecture was proved by Ullmo and Zhang at the end of last century, based on a pioneering work of Szpiro, Ullmo and Zhang on equidistribution of points of small height. Arakelov theory brings geometric intuition to arithmetic and is a natural framework where to study heights and many questions related to equidistribution. In this course we will give an introduction to heights using Arakelov theory, we will discuss classical equidistribution results and their applications, putting on equal foot the arithmetic and the geometric setting. Finally we w...
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