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SUMMARY:Integrable systems in gravity: a Riemann-Hilbert approach - Gabrie
 l Lopes Cardoso (Instituto Superior Técnico\, Lisboa)
DTSTART:20231103T103000Z
DTEND:20231103T120000Z
UID:TALK204211@talks.cam.ac.uk
DESCRIPTION:We review recent progress in obtaining explicit solutions to t
 he non-linear field equations of some gravitational theories by means of a
  Riemann-Hilbert approach and the canonical Wiener-Hopf factorisation of c
 ertain matrix functions called monodromy matrices\, and we describe other 
 types of factorisation from which explicit solutions can be constructed in
  a similar manner. Examples of applications include Kasner\, Einstein-Rose
 n wave and gravitational pulse wave solutions.
LOCATION:Seminar Room 2\, Newton Institute
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