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SUMMARY:Disproving the Deift conjecture: the loss of almost periodicity - 
 Andreia Chapouto (Edinburgh)
DTSTART:20231016T130000Z
DTEND:20231016T140000Z
UID:TALK207382@talks.cam.ac.uk
CONTACT:Dr Greg Taujanskas
DESCRIPTION:In 2008\, Deift conjectured that almost periodic initial data 
 leads to almost periodic solutions to the Korteweg-de Vries equation (KdV)
 . In this talk\, we show that this is not always the case. Namely\, we con
 struct almost periodic initial data whose KdV evolution remains bounded bu
 t loses almost periodicity at a later time\, by building on the new observ
 ation that the conjecture fails for the Airy equation. This is joint work 
 with Rowan Killip and Monica Visan
LOCATION:MR13
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