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SUMMARY:Camillo De Lellis (IAS\, Princeton)
DTSTART:20200430T140000Z
DTEND:20200430T145000Z
DTSTAMP:20260423T052454Z
UID:IMS/8
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/IMS/8/">The 
 oriented Plateau problem and a question of Almgren</a>\nby Camillo De Lell
 is (IAS\, Princeton) as part of PDE seminar via Zoom\n\n\nAbstract\nThe Pl
 ateau problem\, named by Henry Lebesgue after the Belgian physicist Joseph
  Plateau\, consists in finding the surface of least area which spans a giv
 en contour.\n\nIn order to tackle such question\, generations of mathemati
 cians have investigated the very fundamental notions of ``surface''\, ``bo
 undary'' and ``area''\, proposing a variety of different theories. \n\nIn 
 this talk I will give a brief and intuitive exposition of an approach to t
 hese concepts introduced  by Federer and Fleming in the 60es after the pio
 neering work of De Giorgi in the 50es. I will then discuss an open questio
 n relating the shapes of the contour and that of the minimizer\, posed by 
 Almgren in the early eighties and recently solved in a joint work with Gui
 do de Philippis\, Jonas Hirsch and Annalisa Massaccesi.\n
LOCATION:https://researchseminars.org/talk/IMS/8/
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