Poincaré institute

Reinventing rational points

Lectures

Levent Alpoge () :

Arithmetic Statistics

Yuri Bilu (3/6-14/6) :

Effective André-Oort

Tim Browning (11/6-21/6) :

Rational points via the circle method

François Charles (27/5-7/6) :

Basic Arakelov geometry and geometry of numbers

Sara Checcoli (11/6-21/6) :

Small height in big fields: around the properties of Northcott and Bogomolov and Lehmer's conjecture

Yonatan Harpaz (6/5-17/5) :

Rational points on elliptic fibrations (after Swinnerton-Dyer)

Dan Loughran (6/5-17/5) :

Rational points in families of varieties

Bjorn Poonen (1/7-13/7) :

p-adic approaches to rational points on curves

Per Salberger (27/5-7/6) :

Quantitative aspects of rational points on algebraic varieties

Samir Siksek (23/4-3/5) :

Explicit arithmetic of modular curves

Efthymios Sofos (22/4-27/4) :

Probabilistic Diophantine geometry

Felipe Voloch (1/7-12/7) :

Obstructions for rational points on curves