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 √Čtudes 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.