8–12 sept. 2025
Le Bois-Marie
Fuseau horaire Europe/Paris

Integral Points and Affineness in Arakelov Geometry

8 sept. 2025, 11:15
1h
Centre de conférences Marilyn et James Simons (Le Bois-Marie)

Centre de conférences Marilyn et James Simons

Le Bois-Marie

35, route de Chartres 91440 Bures-sur-Yvette

Orateur

François Charles (ENS Paris)

Description

I will describe results old and new regarding finiteness and infiniteness of integral points on arithmetic schemes, subject to analytic conditions. I will explain how the language of A-schemes and the use of theta-invariants, as developed in joint work with Bost, provides a geometric framework for this kind of questions, and how it relates to notions of affineness in Arakelov geometry.

Documents de présentation