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SUMMARY:Nicholas Edelen (University of Notre Dame)
DTSTART:20250115T110000Z
DTEND:20250115T130000Z
DTSTAMP:20260423T005829Z
UID:NCTS-GMT/27
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NCTS-GMT/27/
 ">Regularity of capillary minimal surfaces</a>\nby Nicholas Edelen (Univer
 sity of Notre Dame) as part of NCTS international Geometric Measure Theory
  seminar\n\n\nAbstract\nA capillary surface is a hypersurface meeting some
  container\nat a prescribed angle\, like the surface of water in a cup.  I
 n this talk\nI describe some recent results concerning the boundary regula
 rity of\ncapillary surfaces which either minimize or are critical for thei
 r\nrelevant energy.  The first result (joint with O. Chodosh and C. Li) is
 \nan improved dimension bound for the boundary singular set of\nenergy-min
 imizers\, exploiting the connection between capillary minimal\nsurfaces an
 d the one-phase Bernoulli problem.  The second (joint with L.\nde Masi\, C
 . Gasparetto\, and C. Li) is an Allard-type regularity theorem\nfor energy
 -critical capillary surfaces near capillary half-planes\, which\nimplies r
 egularity at generic boundary points of density $< 1$.\n
LOCATION:https://researchseminars.org/talk/NCTS-GMT/27/
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