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SUMMARY:Sang Woo Ryoo (Princeton University)
DTSTART:20210511T143000Z
DTEND:20210511T153000Z
DTSTAMP:20260423T035822Z
UID:OAGAS/63
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OAGAS/63/">A
  sharp form of Assouad's embedding theorem for Carnot groups</a>\nby Sang 
 Woo Ryoo (Princeton University) as part of Online asymptotic geometric ana
 lysis seminar\n\n\nAbstract\nAssouad's embedding theorem\, which embeds sn
 owflakes of doubling metric spaces into Euclidean spaces\, has recently be
 en sharpened in many different aspects. Following the work of Tao\, which 
 establishes an optimal Assouad embedding theorem for the Heisenberg group\
 , we establish it for general Carnot groups. One main tool is a Nash--Mose
 r type iteration scheme developed by Tao\, which we extend into the settin
 g of Carnot groups. The other tool\, which is the main novelty of this pap
 er\, is a certain orthonormal basis extension theorem in the setting of ge
 neral doubling metric spaces. We anticipate that this latter tool could be
  used for other applications.\n
LOCATION:https://researchseminars.org/talk/OAGAS/63/
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