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SUMMARY:On the Mathematical Theory of Black Holes (3/4)
DTSTART:20180619T120000Z
DTEND:20180619T140000Z
DTSTAMP:20260308T025600Z
UID:indico-event-3465@indico.math.cnrs.fr
CONTACT:cecile@ihes.fr
DESCRIPTION:Speakers: Sergiu Klainerman (Princeton University & IHES)\n\nT
 he gravitational waves detected by LIGO were produced in the final faze of
  the inward spiraling of two black holes before they collided to produce a
  more massive black hole. The experiment is entirely consistent with the s
 o called Final State Conjecture of General Relativity according to which g
 eneric solutions of the Einstein vacuum equations can be described\, asymp
 totically\, by a finite number of Kerr solutions moving away from each oth
 er. Though the conjecture is so very easy to formulate and happens to be v
 alidated by both astrophysical observations as well as numerical experimen
 ts\, it is far beyond our current mathematical understanding. In fact even
  the far simpler and fundamental question of the stability of one Kerr bla
 ck hole remains wide open.\n\nIn my lectures I will address the issue of s
 tability as well as other aspects the mathematical theory of black holes s
 uch as rigidity of black holes and the problem of collapse. The rigidity c
 onjecture asserts that all stationary solutions the Einstein vacuum equati
 ons must be Kerr black holes while the problem of collapse addresses the i
 ssue of how black holes form in the first place from regular initial condi
 tions. Recent advances on all these problems were made possible by a remar
 kable combination of geometric and analytic techniques which I will try to
  outline in my lectures.\n\nhttps://indico.math.cnrs.fr/event/3465/
LOCATION:Centre de conférences Marilyn et James Simons (IHES)
URL:https://indico.math.cnrs.fr/event/3465/
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