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SUMMARY:Andrés Navas (Santiago de Chile)
DTSTART:20220628T130000Z
DTEND:20220628T150000Z
DTSTAMP:20260423T022924Z
UID:WienGAGT/21
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/WienGAGT/21/
 ">Distorted diffeomorphisms</a>\nby Andrés Navas (Santiago de Chile) as p
 art of Vienna Geometry and Analysis on Groups Seminar\n\n\nAbstract\nAn el
 ement of a finitely-generated group is said to be distorted if the word-le
 ngth of its powers grows sublinearly. An element of a general group is sai
 d to be distorted if it is distorted inside a finitely-generated subgroup.
  This notion was introduced by Gromov and is worth studying in many framew
 orks. In this talk I will be interested in diffeomorphisms groups.\n<p>Cal
 egary and Freedman showed that many homeomorphisms are distorted\, However
 \, in general\, \\(C^1\\) diffeomorphisms are not\, for instance due to th
 e existence of hyperbolic fixed points. Studying similar phenomena in high
 er regularity turns out to be interesting in the context of elliptic dynam
 ics. In particular\, we may address the following question: Given \\(r&gt\
 ;s&gt\;1\\)\, does there exist undistorted \\(C^r\\) diffeomorphisms that 
 are distorted inside the group of \\(C^s\\) diffeomorphisms? After a gener
 al discussion\, we will focus on the 1–dimensional case of this question
  for \\(r=2\\) and \\(s=1\\)\, for which we solve it in the affirmative vi
 a the introduction of a new invariant\, namely the asymptotic variation.</
 p>\n
LOCATION:https://researchseminars.org/talk/WienGAGT/21/
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