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SUMMARY:(CANCELLED\, TO BE RESCHEDULED) Leading-order term expansion for t
 he Teukolsky equation on subextremal Kerr black holes - Pascal Millet (Eco
 le Polytechnique)
DTSTART:20240506T130000Z
DTEND:20240506T140000Z
UID:TALK216433@talks.cam.ac.uk
CONTACT:Dr Greg Taujanskas
DESCRIPTION:The study of wave propagation on black hole spacetimes has bee
 n an intense field of research in the past decades. This interest has been
  driven by the stability problem for black holes and by questions related 
 to scattering theory. On Kerr black holes\, the analysis of Maxwell's equa
 tions and the equations of linearized gravity\, can be simplified by intro
 ducing the Teukolsky equation\, which offers the advantage of being scalar
  in nature. After explaining this reduction\, I will present a result prov
 iding the large time leading-order term for initially localized and regula
 r solutions of the Teukolsky equation\, valid for the full subextremal ran
 ge of black hole parameters and for all spins. I will explain how such a d
 evelopment follows naturally from the precise analysis of the resolvent op
 erator on the real axis. Recent advances in microlocal analysis are crucia
 lly used to establish the existence and mapping properties of the resolven
 t.\n
LOCATION:MR13
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