Speaker: Serban Cicortas (Princeton University)

Title: Scattering Theory for Asymptotically de Sitter Vacuum Solutions

Abstract: We will talk about recent work establishing a quantitative nonlinear scat-
tering theory for asymptotically de Sitter solutions of the Einstein vacuum
equations in (𝑛 + 1) dimensions with 𝑛 ≥ 4 even, which are determined by
small scattering data at future infinity and past infinity. We will also explain
why the case of even spatial dimension 𝑛 poses significant challenges com-
pared to its odd counterpart and was left open by the previous works in the
literature.