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SUMMARY:Georgios Moschidis (University of California\, Berkeley)
DTSTART:20210701T133000Z
DTEND:20210701T143000Z
DTSTAMP:20260423T022931Z
UID:jomarec/9
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/jomarec/9/">
 The instability of Anti-de Sitter spacetime for the Einstein-scalar field 
 system</a>\nby Georgios Moschidis (University of California\, Berkeley) as
  part of JoMaReC - Joint Online Mathematical Relativity Colloquium\n\n\nAb
 stract\nThe AdS instability conjecture provides an example of weak turbule
 nce appearing in the dynamics of the Einstein equations in the presence of
  a negative cosmological constant. The conjecture claims the existence of 
 arbitrarily small perturbations to the initial data of Anti-de Sitter spac
 etime which\, under evolution by the vacuum Einstein equations with reflec
 ting 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 sph
 erically symmetric Einstein-scalar field system. The construction of the u
 nstable initial data will require carefully designing a family of initial 
 configurations of localized matter beams and estimating the exchange of en
 ergy taking place between interacting beams over long periods of time\, as
  well as estimating the decoherence rate of those beams. I will also discu
 ss possible paths for extending these ideas to the vacuum case.\n
LOCATION:https://researchseminars.org/talk/jomarec/9/
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