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SUMMARY:Conformal geodesics cannot spiral - Peter Cameron (University of E
 dinburgh)
DTSTART:20240911T130000Z
DTEND:20240911T140000Z
UID:TALK219574@talks.cam.ac.uk
DESCRIPTION:Conformal geodesics are solution curves arising from a conform
 ally invariant equation. These curves have found numerous applications in 
 general relativity. In particular\, they have been used to construct confo
 rmal Gauss coordinates\, which can remain regular across conformal boundar
 ies. In order for such a coordinate system not to break down\, it is impor
 tant that the underlying conformal geodesics do not "spiral" (i.e. enter a
 nd remain in every neighborhood of some point). It is a standard fact that
  this cannot happen for metric geodesics and it has been conjectured that 
 the same is true for conformal geodesics. In this talk I will give a proof
  (joint with Maciej Dunajski and Paul Tod) that conformal geodesics in Rie
 mannian signature cannot spiral.
LOCATION:Seminar Room 1\, Newton Institute
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