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SUMMARY:Marc Pegon (Université de Paris)
DTSTART:20200616T170000Z
DTEND:20200616T180000Z
DTSTAMP:20260423T035034Z
UID:OSGA/13
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OSGA/13/">Pa
 rtial regularity for fractional harmonic maps into spheres</a>\nby Marc Pe
 gon (Université de Paris) as part of Online Seminar "Geometric Analysis"\
 n\n\nAbstract\nSimilarly to “classical” harmonic maps\, which are crit
 ical points of the Dirichlet energy\, fractional harmonic maps are defined
  as critical points of a fractional Dirichlet energy associated with the $
 s$-power of the Laplacian\, for $s \\in (0\,1)$.\nIn this talk\, after a b
 rief reminder on classical harmonic maps\, I will present the fractional s
 etting and the partial regularity results we have obtained for maps valued
  into a sphere. In the case of half harmonic maps ($s=\\frac{1}{2}$)\, I w
 ill also recall the connection with minimal surfaces with free boundary\, 
 which allowed us to improve known regularity results for energy minimizing
   maps into spheres.\n
LOCATION:https://researchseminars.org/talk/OSGA/13/
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