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SUMMARY:Scattering towards the singularity in Kasner spacetimes - Warren L
 i\, Princeton University
DTSTART:20240122T140000Z
DTEND:20240122T150000Z
UID:TALK211207@talks.cam.ac.uk
CONTACT:Amelie Justine Loher
DESCRIPTION:The Kasner spacetimes are solutions to Einstein’s equations 
 that play a decisive role in the study of spacelike singularities in GR. I
 n this talk\, we study two model hyperbolic systems in Kasner spacetimes\,
  namely the scalar wave equation and the linearized Einstein(-scalar field
 ) system\, whose solutions have certain quantitative blow-up asymptotics n
 ear the singularity of Kasner. We present recent results deriving a sharp 
 correspondence between Cauchy data and asymptotic data at the singularity\
 , which reveals interesting phenomena regarding gains and losses of regula
 rity.
LOCATION:MR13
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