Poincaré institute

Reinventing rational points

Rational points on Fano and similar varieties

Talks

Margaret Bilu :

Motivic Euler products

Julia Brandes :

Rational lines on cubic hypersurfaces

Antoine Chambert-Loir :

Integral points of bounded height on toric varieties — reloaded

Jean-Louis Colliot-Thélène :

Obstruction de Brauer-Manin pour les surfaces de Markoff

Cyril Demarche :

Structure of homogeneous spaces and applications to local-global principles

David Harari :

Complexes of tori and rational points on homogeneous spaces over a function field

Julia Hartmann :

Local-Global principles for tori over arithmetic surfaces

Pierre Le Boudec :

On a conjecture of Poonen and Voloch II: Lattice point counting and the variance of the number of rational points on Fano hypersurfaces

Daniel Loughran :

A quantitative version of the fibration method

Bjorn Poonen :

The local-global principle for stacky curves

Per Salberger :

Counting rational points of cubic hypersurfaces

Cecília Salgado :

Mordell Weil rank jumps and the Hilbert property

Will Sawin :

On a conjecture of Poonen and Voloch I: Probabilistic models for counting rational points on random Fano hypersurfaces

Arne Smeets :

Campana's orbifolds, points of bounded height and fibrations

Efthymios Sofos :

Serre's problem for diagonal conics

Sho Tanimoto :

Sections of del Pezzo fibrations over \(\mathbf P^1\)

Olivier Wittenberg :

Approximation fine pour les points rationnels sur les corps de fonctions

Fei Xu :

Strong approximation for a family of norm varieties