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SUMMARY:On the Mathematical Theory of Black Holes (3/4)
DTSTART;VALUE=DATE-TIME:20180619T120000Z
DTEND;VALUE=DATE-TIME:20180619T140000Z
DTSTAMP;VALUE=DATE-TIME:20200813T030921Z
UID:indico-event-3465@indico.math.cnrs.fr
DESCRIPTION:The 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 consiste
nt with the so called Final State Conjecture of General Relativity accordi
ng to which generic solutions of the Einstein vacuum equations can be desc
ribed\, asymptotically\, by a finite number of Kerr solutions moving away
from each other. Though the conjecture is so very easy to formulate and ha
ppens to be validated by both astrophysical observations as well as numeri
cal experiments\, it is far beyond our current mathematical understanding.
In fact even the far simpler and fundamental question of the stability of
one Kerr black hole remains wide open.\n\nIn my lectures I will address t
he issue of stability as well as other aspects the mathematical theory of
black holes such as rigidity of black holes and the problem of collapse. T
he rigidity conjecture asserts that all stationary solutions the Einstein
vacuum equations must be Kerr black holes while the problem of collapse ad
dresses the issue of how black holes form in the first place from regular
initial conditions. Recent advances on all these problems were made possib
le by a remarkable combination of geometric and analytic techniques which
I will try to outline in my lectures.\n\nhttps://indico.math.cnrs.fr/event
/3465/
LOCATION:IHES Centre de confĂ©rences Marilyn et James Simons
URL:https://indico.math.cnrs.fr/event/3465/
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