The Ramsey Numbers - New Results and New Perspectives

Explore the fascinating world of Ramsey numbers in this Bourgain Lecture delivered by Julian Sahasrabudhe from the Institute for Advanced Study. Delve into the fundamental importance of Ramsey numbers R(k) in combinatorics, uncovering their intriguing properties and the mystery surrounding them. Gain insights into recent advancements in understanding these numbers and discover their connections to problems involving the geometry of random variables in high-dimensional spaces. This thought-provoking talk offers a comprehensive overview of the subject, providing both motivation for studying Ramsey numbers and an exploration of new perspectives in the field.