Seminaire Bourbaki: Volume 2013/2014 Exposes 1074-1088

This 66th volume of the Bourbaki Seminar contains the texts of the fifteen survey lectures done during the year 2013/2014: four lectures on topology and differential geometry, four lectures about partial differential equations, one lecture on the structure of approximate groups, one lecture about functional analysis, one lecture on the algebraic geometry of K3 surfaces, one lecture about the gaps between prime numbers, one lecture on probability theory and two lectures concerning foundations of mathematics and formal proofs.