Speaker: Francois Charles
Date: 10:30 25/09/2020
Title: Geometry of numbers in infinite rank and diophantine applications
Abstract: I will explain how basic geometric constructions in arithmetic geometry
related to integral points or periods involve natural analogues of lattices in infinite
rank. I will sketch the basic setup that makes it possible to do geometry of numbers in
that setting, thus providing a rough analogue in diophantine geometry for the
theory of quasi-coherent sheaves. I will sketch basic applications to integral points on
affine varieties. This is joint work with Jean-BenoĆ®t Bost.