J-B Bost - Theta series, infinite rank Hermitian vector bundles, Diophantine algebraization (Part2)

Jean-Benoît Bost (1) , Jérémy Magnien (2)

1 Département de Mathématiques-Université de Paris XI
2 IF - Institut Fourier

In these lectures, I will firstly discuss diverse properties of the invariant h0θ and of its extensions to certain infinite dimensional generalizations of Euclidean lattices. Then I will present applications of this formalism to transcendence theory and to algebraization theorems in Diophantine geometry.

Mots clés: Arakelov Geometry and diophantine applications; theta series; Hermitian vector bundles; diophantine algebraization

Mots clés: eem2017; Géométrie d'Arakelov et applications diophantiennes; Grenoble

Domaines: Mathématiques [math]

Jean-Benoît Bost, Jérémy Magnien. J-B Bost - Theta series, infinite rank Hermitian vector bundles, Diophantine algebraization (Part2): Summer School 2017 - Arakelov Geometry and diophantine applications. 2017. ⟨medihal-01715964⟩