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SUMMARY:Bastian Käfer (RWTH Aachen)
DTSTART:20200428T170000Z
DTEND:20200428T180000Z
DTSTAMP:20260423T035023Z
UID:OSGA/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OSGA/3/">A M
 öbius invariant energy for sets of arbitrary dimension and codimension</a
 >\nby Bastian Käfer (RWTH Aachen) as part of Online Seminar "Geometric An
 alysis"\n\n\nAbstract\nWe consider the family of Möbius invariant energie
 s for m-dimensional submanifolds of $\\mathbb R^n$\, introduced by R. Kusn
 er and J. Sullivan\, defined on a class of sets\, which are given by the u
 nion of Lipschitz graphs and satisfy an additional condition of "nice" sel
 f-intersection.\nWe show for these sets that finite energy implies Reifenb
 erg-flatness through estimating the energy of certain subsets.\nThis final
 ly leads to a local representation given by a single graph and prevents an
 y kind of self-intersection.\nAs an immediate implication\, we obtain that
  every immersed $C^1$ manifold with finite energy is embedded.\nThis is jo
 int work with Heiko von der Mosel.\n
LOCATION:https://researchseminars.org/talk/OSGA/3/
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