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SUMMARY:Geometry and dynamics seminar: Boundary regularity of Dirichlet mi
 nimizing Q-valued functions
DTSTART:20150506T161500
DTEND:20150506T173000
DTSTAMP:20260407T064139Z
UID:45dc61212c8b78478bcca0fdd886243cef7833a44a8d820792a53a12
CATEGORIES:Conferences - Seminars
DESCRIPTION:Jonas Hirsch (KIT)\nF.J.Almgren introduced a theory of multiva
 lued/ Q-valued functions in his pioneering ”big regularity paper”. The
  natural number Q\, fixed\, indicates the number of values the function ta
 kes\, counting multiplicity. He used the regularity properties of Dirichle
 t minimizers as an essential tool in his proof of the regularity for mass 
 minimzing intergral currents.\nAlmgren’s idea motivates the study of the
  regularity properties of Q-valued functions. I will present an extension 
 of his interior Holder regularity result to the boundary.\nFirstly I will 
 give a rough explanation of his strategy and a short introduction to the t
 heory of Q-valued functions. Afterwards I will present an overview of the 
 regularity results known so far and some examples\, to demonstrate the dif
 ficulties one encounters. In the last part I will sketch the proof of the 
 boundary regularity result.
LOCATION:GC C3 30 http://plan.epfl.ch/?zoom=20&recenter_y=5864214.51967&re
 center_x=730902.15996&layerNodes=fonds\,batiments\,labels\,information\,pa
 rkings_publics\,arrets_metro\,transports_publics&floor=3&q=GC_C3%2030
STATUS:CONFIRMED
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