Alfréd Rényi was born on the 20th of March 1921. To celebrate this occasion, the Alfréd Rényi Institute of Mathematics and the Hungarian Academy of Sciences are organising a high-profile conference, representing modern probability, graph theory and networks, information theory, dynamical systems, number theory and other fields in Rényi's spirit. That is: not respecting strictly the borders between these and possibly other areas of pure and applied mathematics.