The HADES seminar on Tuesday, March 30 will be given by Georgios Moschidis via Zoom from 3:40 to 5 pm.

Speaker: Georgios Moschidis

Abstract: The AdS instability conjecture provides an example of weak turbulence appearing in the dynamics of the Einstein equations in the presence of a negative cosmological constant. According to this conjecture, there exist arbitrarily small perturbations to the initial data of Anti-de Sitter spacetime which, under evolution by the vacuum Einstein equations with reflecting  boundary conditions at conformal infinity, lead to the formation of black holes after sufficiently long time.  In this talk, I will present a rigorous proof of the AdS instability conjecture in the setting of the spherically symmetric  Einstein-scalar field system. The construction of the unstable initial data will require carefully designing a family of initial configurations of localized matter beams and estimating the exchange of energy taking place between interacting beams over long periods of time, as well as estimating the decoherence rate of those beams.