Apery, irrationality proofs and dinner parties

 Members' Seminar Topic: Apery, irrationality proofs and dinner parties Speaker: Francis Brown Affiliation: Centre national de la recherche scientifique, Institut des Hautes Études Scientifiques Date: Monday, October 27 Time/Room: 2:00pm - 3:00pm/S-101

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. The talk is intended for a general mathematical audience.