100, rue des maths 38610 Gières / GPS : 45.193055, 5.772076 / Directeur : Louis Funar

# Gabriel Lepetit

We introduce some basic principles of diophantine approximation and then focus on a particular problem of this field : Apéry's celebrated elementary proof of the irrationality of $\zeta(3)$. We will discuss other proofs by Beukers and Nesterenko if time allows.