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SUMMARY:Michael Goldman (Laboratoire Jacques-Louis Lions and Université P
 aris 7)
DTSTART:20200428T150000Z
DTEND:20200428T160000Z
DTSTAMP:20260404T121505Z
UID:LisbonWADE/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LisbonWADE/2
 /">On an old conjecture of Almgren</a>\nby Michael Goldman (Laboratoire Ja
 cques-Louis Lions and Université Paris 7) as part of Lisbon webinar in an
 alysis and differential equations\n\n\nAbstract\nIn this talk I will give 
 an overview on the few results available on the conjecture of Almgren rega
 rding the convexity of drops subject to the action of an external potentia
 l. In particular I will present recent progress in this direction obtained
  with G. De Philippis on their connectedness. Together with an older resul
 t of McCann\, this answers positively the conjecture in dimension two. The
  proof is inspired by the two-point function technique introduced by B. An
 drews and is reminiscent of the doubling of variables trick in the context
  of viscosity solutions.\n
LOCATION:https://researchseminars.org/talk/LisbonWADE/2/
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