– Europe/Lisbon — Online
We will discuss the large time behavior of solutions to Einstein's equations with a positive cosmological constant. This is a subject first addressed by Friedrich ('86) in vacuum, showing in particular the global stability of de Sitter space. Since then numerous works have investigated the asymptotic behavior of solutions with an accelerated expansion at infinity, in different contexts, and the effect of the expansion to various matter fields. We will give an account of known results and present a recent work that classifies the future dynamics of the FLRW solution for the massless-scalar field system.