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SUMMARY:Camillo De Lellis (IAS\, Princeton)
DTSTART:20200430T140000Z
DTEND:20200430T145000Z
DTSTAMP:20260404T143401Z
UID:IMS/8
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/IMS/8
 /">The oriented Plateau problem and a question of Almgren</a>\nby Camillo 
 De Lellis (IAS\, Princeton) as part of PDE seminar via Zoom\n\n\nAbstract\
 nThe Plateau problem\, named by Henry Lebesgue after the Belgian physicist
  Joseph Plateau\, consists in finding the surface of least area which span
 s a given contour.\n\nIn order to tackle such question\, generations of ma
 thematicians have investigated the very fundamental notions of ``surface''
 \, ``boundary'' and ``area''\, proposing a variety of different theories. 
 \n\nIn this talk I will give a brief and intuitive exposition of an approa
 ch to these concepts introduced  by Federer and Fleming in the 60es after 
 the pioneering work of De Giorgi in the 50es. I will then discuss an open 
 question relating the shapes of the contour and that of the minimizer\, po
 sed by Almgren in the early eighties and recently solved in a joint work w
 ith Guido de Philippis\, Jonas Hirsch and Annalisa Massaccesi.\n
LOCATION:https://stable.researchseminars.org/talk/IMS/8/
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