Groupe d’études et de recherche en analyse des décisions

Irrationality proofs, moduli spaces and dinner parties

Francis Brown Institut des Hautes Études Scientifiques, France

After introducing an elementary criterion for a real number to be irrational, I will discuss Apery’s famous result proving the irrationality of zeta(3). Then I will give an overview of subsequent results in this field, and finally propose a simple geometric interpretation based on a classical dinner party game.