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SUMMARY:The halfspace theorem for nonlocal minimal surfaces. [Oberseminar 
 Analysis]
DTSTART:20251121T131500Z
DTEND:20251121T141500Z
DTSTAMP:20260314T232500Z
UID:indico-event-936@math-events.uni-bonn.de
CONTACT:zemas@iam.uni-bonn.de
DESCRIPTION:Speakers: Jack Thompson (University of Western Australia)\n\nI
 n 1990\, Hoffman and Meeks proved the strong halfspace theorem for minimal
  surfaces\, that is any connected\, proper\, possibly branched minimal sur
 face in three-dimensional Euclidean space that is contained in a halfspace
  must be a plane. In a joint work with Matteo Cozzi\, we prove the strong 
 halfspace theorem for nonlocal minimal surfaces. Interestingly\, our resul
 t holds for hypersurfaces of any dimension\, in direct contrast to the cla
 ssical case which does not hold for hypersurfaces of dimension three or hi
 gher. In the first half of my talk\, I will introduce and motivate nonloca
 l minimal surfaces and try to highlight some interesting similarities/diff
 erences with their classical counterparts. In the second half\, I will dis
 cuss the nonlocal halfspace theorem including some ideas of the proof. \n
 \nhttps://math-events.uni-bonn.de/event/936/
LOCATION:Mathezentrum
URL:https://math-events.uni-bonn.de/event/936/
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