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SUMMARY:A scattering theory construction of dynamical solitons - Istvan Ka
 dar\, University of Cambridge
DTSTART:20231110T130000Z
DTEND:20231110T140000Z
UID:TALK208183@talks.cam.ac.uk
CONTACT:Xi Tong
DESCRIPTION:In the past 20 years the mathematical study of dynamical prope
 rties of black holes has greatly accelerated. Indeed\, the first mathemati
 cal description of a dynamical black hole is from 2013.  Many of the works
  focus on symmetry reduced settings\, or toy problems that ought to captur
 e important phenomenology of the Einstein equations. Outside a few excepti
 ons\, these works are focused on the solution in a neighbourhood of a sing
 le black hole\, resulting in almost spherically symmetric setting in the f
 ar region. In this talk\, I will present a model problem that I think capt
 ures some\, albeit not all\, important features and difficulties of studyi
 ng multi black hole solutions in asymptotically flat spacetimes and report
  on progress in the understanding of this model. In particular\, I will pr
 esent the construction of a solution to the energy critical wave equation 
 in a neighbourhood of timelike infinity that has a prescribed radiation fi
 eld through null infinity.
LOCATION:Potter room/Zoom
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