Affine and mod-affine varieties in arithmetic geometry. - Charles - Workshop 2 - CEB T2 2019

François Charles (Université Paris-Sud) / 24.06.2019

Affine and mod-affine varieties in arithmetic geometry.

We will explain how studying arithmetic versions of affine schemes and their bira- tional modifications leads to a generalization to arbitrary schemes of both Fekete’s theorem on algebraic integers, all of whose conjugates lie in a certain compact subset of C, and of classical results on approximation of holomorphic functions by polynomials with integral coefficients. We will try and introduce the relevant geom- etry of numbers in infinite rank as a means of studying the cohomology of coherents sheaves on these objects. This is joint work with Jean-Benoît Bost.

----------------------------------
Vous pouvez nous rejoindre sur les réseaux sociaux pour suivre nos actualités.

*************************************
Langue : Anglais; Date : 24.06.2019; Conférencier : Charles, François; Évenement : Workshop 2 - CEB T2 2019; Lieu : IHP; Mots Clés : Arakelov geometry, Fekete, Arithmetic geometry, Integral points